Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / ed. by Richard S. Palais.
The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming.
Saved in:
Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
---|---|
MitwirkendeR: | |
HerausgeberIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1966 |
Year of Publication: | 2016 |
Language: | English |
Series: | Annals of Mathematics Studies ;
57 |
Online Access: | |
Physical Description: | 1 online resource (376 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9781400882045 |
---|---|
ctrlnum |
(DE-B1597)467936 (OCoLC)979882336 |
collection |
bib_alma |
record_format |
marc |
spelling |
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / ed. by Richard S. Palais. Princeton, NJ : Princeton University Press, [2016] ©1966 1 online resource (376 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 57 Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF -- CHAPTER II. REVIEW OF K-THEORY -- CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE -- CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES -- CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS -- CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS -- CHAPTER VII. FREDHDIM OPERATORS -- CHAPTER VIII. CHAINS OP HILBERTIAN SPACES -- CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE -- CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE -- CHAPTER XI. THE SEELEY ALGEBRA -- CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX -- CHAPTER XIII. WHITNEY SUMS -- CHAPTER XIV. TENSOR PRODUCTS -- CHAPTER XV. DEFINITION OF ia AND it ON K(M) -- CHAPTER XVI. CONSTRUCTION OF Intk -- CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX -- CHAPTER XVIII. BORDISM GROUPS OF BUNDLES -- CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS -- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY -- APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Atiyah-Singer index theorem. Differential topology. Homology theory. MATHEMATICS / Topology. bisacsh Addition. Adjoint. Algebraic topology. Algebraic variety. Almost complex manifold. Arf invariant. Asymptotic expansion. Automorphism. Axiom. Banach space. Big O notation. Boundary value problem. Bounded operator. Characteristic class. Chern class. Cohomology. Cokernel. Compact operator. Complex vector bundle. Computation. Connected component (graph theory). Coordinate system. Corollary. Cotangent bundle. Differentiable function. Differentiable manifold. Differential operator. Dimension (vector space). Dimension. Disjoint union. Division by zero. Elliptic operator. Elliptic partial differential equation. Equivalence class. Euclidean space. Euler class. Exact sequence. Existential quantification. Fiber bundle. Formal power series. Fourier transform. Fredholm operator. Functional analysis. Gelfand. Grothendieck group. H-cobordism. Hilbert space. Hodge theory. Homogeneous polynomial. Homomorphism. Homotopy. Indeterminate (variable). Injective function. Integer. Isomorphism class. Jet bundle. K-theory. L-theory. Linear map. Manifold. Michael Atiyah. Natural transformation. Normal bundle. Orientability. Pairing. Partial differential equation. Polynomial ring. Polynomial. Principal bundle. Projection (mathematics). Riemann-Roch theorem. Ring (mathematics). Robert M. Solovay. Sign convention. Singular integral. Sobolev inequality. Spanning tree. Special case. Subgroup. Submanifold. Subring. Suggestion. Summation. Surjective function. Symmetric bilinear form. Symmetric function. Tangent bundle. Tangent space. Tensor product. Theorem. Todd class. Topological vector space. Uniqueness theorem. Vector bundle. Vector space. Atiyah, M. F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Borel, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Floyd, E. E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Palaie, Richard S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Palais, R. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Palais, Richard S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Palais, Richard S., editor. edt http://id.loc.gov/vocabulary/relators/edt Seeley, R. T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shih, Weishu, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Solovay, Robert M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Solovay, Robert, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691080314 https://doi.org/10.1515/9781400882045 https://www.degruyter.com/isbn/9781400882045 Cover https://www.degruyter.com/document/cover/isbn/9781400882045/original |
language |
English |
format |
eBook |
author2 |
Atiyah, M. F., Atiyah, M. F., Borel, A., Borel, A., Floyd, E. E., Floyd, E. E., Palaie, Richard S., Palaie, Richard S., Palais, R. S., Palais, R. S., Palais, Richard S., Palais, Richard S., Palais, Richard S., Palais, Richard S., Seeley, R. T., Seeley, R. T., Shih, Weishu, Shih, Weishu, Solovay, Robert M., Solovay, Robert M., Solovay, Robert, Solovay, Robert, |
author_facet |
Atiyah, M. F., Atiyah, M. F., Borel, A., Borel, A., Floyd, E. E., Floyd, E. E., Palaie, Richard S., Palaie, Richard S., Palais, R. S., Palais, R. S., Palais, Richard S., Palais, Richard S., Palais, Richard S., Palais, Richard S., Seeley, R. T., Seeley, R. T., Shih, Weishu, Shih, Weishu, Solovay, Robert M., Solovay, Robert M., Solovay, Robert, Solovay, Robert, |
author2_variant |
m f a mf mfa m f a mf mfa a b ab a b ab e e f ee eef e e f ee eef r s p rs rsp r s p rs rsp r s p rs rsp r s p rs rsp r s p rs rsp r s p rs rsp r s p rs rsp r s p rs rsp r t s rt rts r t s rt rts w s ws w s ws r m s rm rms r m s rm rms r s rs r s rs |
author2_role |
MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR HerausgeberIn HerausgeberIn MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR |
author_sort |
Atiyah, M. F., |
title |
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / |
spellingShingle |
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / Annals of Mathematics Studies ; Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF -- CHAPTER II. REVIEW OF K-THEORY -- CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE -- CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES -- CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS -- CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS -- CHAPTER VII. FREDHDIM OPERATORS -- CHAPTER VIII. CHAINS OP HILBERTIAN SPACES -- CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE -- CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE -- CHAPTER XI. THE SEELEY ALGEBRA -- CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX -- CHAPTER XIII. WHITNEY SUMS -- CHAPTER XIV. TENSOR PRODUCTS -- CHAPTER XV. DEFINITION OF ia AND it ON K(M) -- CHAPTER XVI. CONSTRUCTION OF Intk -- CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX -- CHAPTER XVIII. BORDISM GROUPS OF BUNDLES -- CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS -- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY -- APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS -- Backmatter |
title_full |
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / ed. by Richard S. Palais. |
title_fullStr |
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / ed. by Richard S. Palais. |
title_full_unstemmed |
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / ed. by Richard S. Palais. |
title_auth |
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / |
title_alt |
Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF -- CHAPTER II. REVIEW OF K-THEORY -- CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE -- CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES -- CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS -- CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS -- CHAPTER VII. FREDHDIM OPERATORS -- CHAPTER VIII. CHAINS OP HILBERTIAN SPACES -- CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE -- CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE -- CHAPTER XI. THE SEELEY ALGEBRA -- CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX -- CHAPTER XIII. WHITNEY SUMS -- CHAPTER XIV. TENSOR PRODUCTS -- CHAPTER XV. DEFINITION OF ia AND it ON K(M) -- CHAPTER XVI. CONSTRUCTION OF Intk -- CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX -- CHAPTER XVIII. BORDISM GROUPS OF BUNDLES -- CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS -- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY -- APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS -- Backmatter |
title_new |
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / |
title_sort |
seminar on atiyah-singer index theorem. (am-57), volume 57 / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2016 |
physical |
1 online resource (376 p.) Issued also in print. |
contents |
Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF -- CHAPTER II. REVIEW OF K-THEORY -- CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE -- CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES -- CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS -- CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS -- CHAPTER VII. FREDHDIM OPERATORS -- CHAPTER VIII. CHAINS OP HILBERTIAN SPACES -- CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE -- CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE -- CHAPTER XI. THE SEELEY ALGEBRA -- CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX -- CHAPTER XIII. WHITNEY SUMS -- CHAPTER XIV. TENSOR PRODUCTS -- CHAPTER XV. DEFINITION OF ia AND it ON K(M) -- CHAPTER XVI. CONSTRUCTION OF Intk -- CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX -- CHAPTER XVIII. BORDISM GROUPS OF BUNDLES -- CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS -- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY -- APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS -- Backmatter |
isbn |
9781400882045 9783110494914 9783110442496 9780691080314 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA612 |
callnumber-sort |
QA 3612 P3 41965EB |
url |
https://doi.org/10.1515/9781400882045 https://www.degruyter.com/isbn/9781400882045 https://www.degruyter.com/document/cover/isbn/9781400882045/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
513 - Arithmetic |
dewey-full |
513.83 |
dewey-sort |
3513.83 |
dewey-raw |
513.83 |
dewey-search |
513.83 |
doi_str_mv |
10.1515/9781400882045 |
oclc_num |
979882336 |
work_keys_str_mv |
AT atiyahmf seminaronatiyahsingerindextheoremam57volume57 AT borela seminaronatiyahsingerindextheoremam57volume57 AT floydee seminaronatiyahsingerindextheoremam57volume57 AT palaierichards seminaronatiyahsingerindextheoremam57volume57 AT palaisrs seminaronatiyahsingerindextheoremam57volume57 AT palaisrichards seminaronatiyahsingerindextheoremam57volume57 AT seeleyrt seminaronatiyahsingerindextheoremam57volume57 AT shihweishu seminaronatiyahsingerindextheoremam57volume57 AT solovayrobertm seminaronatiyahsingerindextheoremam57volume57 AT solovayrobert seminaronatiyahsingerindextheoremam57volume57 |
status_str |
n |
ids_txt_mv |
(DE-B1597)467936 (OCoLC)979882336 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / |
container_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
author2_original_writing_str_mv |
noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField noLinkedField |
_version_ |
1770176740054794240 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>08173nam a22020055i 4500</leader><controlfield tag="001">9781400882045</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20220131112047.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">220131t20161966nju fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400882045</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400882045</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)467936</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979882336</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">nju</subfield><subfield code="c">US-NJ</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA612</subfield><subfield code="b">.P3 1965eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT038000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">513.83</subfield><subfield code="2">22</subfield></datafield><datafield tag="245" ind1="0" ind2="0"><subfield code="a">Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 /</subfield><subfield code="c">ed. by Richard S. Palais.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1966</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (376 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Annals of Mathematics Studies ;</subfield><subfield code="v">57</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">CONTENTS -- </subfield><subfield code="t">PREFACE -- </subfield><subfield code="t">CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF -- </subfield><subfield code="t">CHAPTER II. REVIEW OF K-THEORY -- </subfield><subfield code="t">CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE -- </subfield><subfield code="t">CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES -- </subfield><subfield code="t">CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS -- </subfield><subfield code="t">CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS -- </subfield><subfield code="t">CHAPTER VII. FREDHDIM OPERATORS -- </subfield><subfield code="t">CHAPTER VIII. CHAINS OP HILBERTIAN SPACES -- </subfield><subfield code="t">CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE -- </subfield><subfield code="t">CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE -- </subfield><subfield code="t">CHAPTER XI. THE SEELEY ALGEBRA -- </subfield><subfield code="t">CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX -- </subfield><subfield code="t">CHAPTER XIII. WHITNEY SUMS -- </subfield><subfield code="t">CHAPTER XIV. TENSOR PRODUCTS -- </subfield><subfield code="t">CHAPTER XV. DEFINITION OF ia AND it ON K(M) -- </subfield><subfield code="t">CHAPTER XVI. CONSTRUCTION OF Intk -- </subfield><subfield code="t">CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX -- </subfield><subfield code="t">CHAPTER XVIII. BORDISM GROUPS OF BUNDLES -- </subfield><subfield code="t">CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS -- </subfield><subfield code="t">APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY -- </subfield><subfield code="t">APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS -- </subfield><subfield code="t">Backmatter</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Atiyah-Singer index theorem.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Differential topology.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Homology theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Topology.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Addition.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Adjoint.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebraic topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebraic variety.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Almost complex manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Arf invariant.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Asymptotic expansion.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Atiyah-Singer index theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Automorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Axiom.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Banach space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Big O notation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Boundary value problem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Bounded operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Characteristic class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Chern class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cohomology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cokernel.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Compact operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complex vector bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Computation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Connected component (graph theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coordinate system.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Corollary.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cotangent bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Differentiable function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Differentiable manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Differential operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dimension (vector space).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dimension.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Disjoint union.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Division by zero.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Elliptic operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Elliptic partial differential equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equivalence class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Euclidean space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Euler class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Exact sequence.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Existential quantification.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fiber bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Formal power series.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fourier transform.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fredholm operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Functional analysis.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Gelfand.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Grothendieck group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">H-cobordism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hilbert space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hodge theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homogeneous polynomial.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homotopy.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Indeterminate (variable).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Injective function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Integer.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Isomorphism class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Jet bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">K-theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">L-theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Linear map.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Michael Atiyah.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Natural transformation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Normal bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Orientability.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pairing.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Partial differential equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Polynomial ring.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Polynomial.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Principal bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Projection (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann-Roch theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Ring (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Robert M. Solovay.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sign convention.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Singular integral.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sobolev inequality.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Spanning tree.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Special case.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subgroup.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Submanifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subring.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Suggestion.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Summation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Surjective function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Symmetric bilinear form.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Symmetric function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Tangent bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Tangent space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Tensor product.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Todd class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topological vector space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Uniqueness theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vector bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vector space.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Atiyah, M. F., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Borel, A., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Floyd, E. E., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Palaie, Richard S., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Palais, R. S., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Palais, Richard S., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Palais, Richard S., </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Seeley, R. T., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shih, Weishu, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Solovay, Robert M., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Solovay, Robert, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton Annals of Mathematics eBook-Package 1940-2020</subfield><subfield code="z">9783110494914</subfield><subfield code="o">ZDB-23-PMB</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton University Press eBook-Package Archive 1927-1999</subfield><subfield code="z">9783110442496</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9780691080314</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400882045</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400882045</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9781400882045/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999</subfield><subfield code="c">1927</subfield><subfield code="d">1999</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_PPALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-PMB</subfield><subfield code="c">1940</subfield><subfield code="d">2020</subfield></datafield></record></collection> |