Thurston's Work on Surfaces (MN-48) / / Albert Fathi, François Laudenbach, Valentin Poénaru.
This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English. Based on material of Thurston presented at a seminar in Orsay from 1976 to 1977, it covers topics such as the space of measured foliations on a surface, t...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2022] ©2012 |
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Fathi, Albert, author. aut http://id.loc.gov/vocabulary/relators/aut Thurston's Work on Surfaces (MN-48) / Albert Fathi, François Laudenbach, Valentin Poénaru. Princeton, NJ : Princeton University Press, [2022] ©2012 1 online resource (272 p.) : 150 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematical Notes ; 48 Frontmatter -- Contents -- Preface -- 1 An Overview of Thurston’s Theorems on Surfaces -- 2 Some Reminders about the Theory of Surface Diffeomorphisms -- 3 Review of Hyperbolic Geometry in Dimension 2 -- 4 The Space of Simple Closed Curves in a Surface -- A. Pair of Pants Decompositions of a Surface -- Appendix A -- 5 Measured Foliations -- B Spines of Surfaces -- Appendix B -- 6 The Classification of Measured Foliations -- C Explicit Formulas for Measured Foliations -- Appendix C -- 7 Teichmuller Space -- 8 The Thurston Compactification of Teichmuller Space -- D Estimates of Hyperbolic Distances -- Appendix D -- 9 The Classification of Surface Diffeomorphisms -- 10 Some Dynamics of Pseudo-Anosov Diffeomorphisms -- 11 Thurston’s Theory for Surfaces with Boundary -- 12 Uniqueness Theorems for Pseudo-Anosov Diffeomorphisms -- 13 Constructing Pseudo-Anosov Diffeomorphisms -- 14 Fibrations over S1 with Pseudo-Anosov Monodromy -- 15 Presentation of the Mapping Class Group -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English. Based on material of Thurston presented at a seminar in Orsay from 1976 to 1977, it covers topics such as the space of measured foliations on a surface, the Thurston compactification of Teichmüller space, the Nielsen-Thurston classification of surface homeomorphisms, and dynamical properties of pseudo-Anosov diffeomorphisms. Thurston never published the complete proofs, so this text is the only resource for many aspects of the theory.Thurston was awarded the prestigious Fields Medal in 1982 as well as many other prizes and honors, and is widely regarded to be one of the major mathematical figures of our time. Today, his important and influential work on surface homeomorphisms is enjoying continued interest in areas ranging from the Poincaré conjecture to topological dynamics and low-dimensional topology.Conveying the extraordinary richness of Thurston's mathematical insight, this elegant and faithful translation from the original French will be an invaluable resource for the next generation of researchers and students. 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 29. Jul 2022) Dynamics. Homeomorphisms. Surfaces. MATHEMATICS / Topology. bisacsh "exposition. Analytic Theory. Arational foliations. Automorphisms. Baire category theorem. Bernoulli process. Birectangles. Claim. Continuity. Dehn twists. Good atlas. Jordan curve. Marked functions. Markov partitions. Mathematical Society. Perron–Frobenius theorem. Riemannian manifold. Surjectivity. Thurston’s theorem. Topology. Uniqueness. Whitehead operations. affine structure. almost minimal. braid group. canonical coordinates. canonical models. ergodic map. homeomorphism. homogeneous. homotopic. hyperbolic geometry. integers. irreducible. isometric isotopy. lemma. multiplication by scalars. one-holed torus. pants decomposition. pants seam. pseudo-Anosov diffeomorphism. quasitransverse curves. ramified cover. small loop. spectral theorem. strict conjugacy". suspension. total variation. truncated hexagon. zeta function. Douady, Adrien, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fathi, Albert, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fried, David, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kim, Djun, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Laudenbach, Francois, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Laudenbach, François, author. aut http://id.loc.gov/vocabulary/relators/aut Margalit, Dan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Marin, Alexis, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Poenaru, Valentin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Poénaru, Valentin, author. aut http://id.loc.gov/vocabulary/relators/aut Shub, Michael, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Gap Years 9783110784237 https://doi.org/10.1515/9781400839032?locatt=mode:legacy https://www.degruyter.com/isbn/9781400839032 Cover https://www.degruyter.com/document/cover/isbn/9781400839032/original |
language |
English |
format |
eBook |
author |
Fathi, Albert, Fathi, Albert, Laudenbach, François, Poénaru, Valentin, |
spellingShingle |
Fathi, Albert, Fathi, Albert, Laudenbach, François, Poénaru, Valentin, Thurston's Work on Surfaces (MN-48) / Mathematical Notes ; Frontmatter -- Contents -- Preface -- 1 An Overview of Thurston’s Theorems on Surfaces -- 2 Some Reminders about the Theory of Surface Diffeomorphisms -- 3 Review of Hyperbolic Geometry in Dimension 2 -- 4 The Space of Simple Closed Curves in a Surface -- A. Pair of Pants Decompositions of a Surface -- Appendix A -- 5 Measured Foliations -- B Spines of Surfaces -- Appendix B -- 6 The Classification of Measured Foliations -- C Explicit Formulas for Measured Foliations -- Appendix C -- 7 Teichmuller Space -- 8 The Thurston Compactification of Teichmuller Space -- D Estimates of Hyperbolic Distances -- Appendix D -- 9 The Classification of Surface Diffeomorphisms -- 10 Some Dynamics of Pseudo-Anosov Diffeomorphisms -- 11 Thurston’s Theory for Surfaces with Boundary -- 12 Uniqueness Theorems for Pseudo-Anosov Diffeomorphisms -- 13 Constructing Pseudo-Anosov Diffeomorphisms -- 14 Fibrations over S1 with Pseudo-Anosov Monodromy -- 15 Presentation of the Mapping Class Group -- Bibliography -- Index |
author_facet |
Fathi, Albert, Fathi, Albert, Laudenbach, François, Poénaru, Valentin, Douady, Adrien, Douady, Adrien, Fathi, Albert, Fathi, Albert, Fried, David, Fried, David, Kim, Djun, Kim, Djun, Laudenbach, Francois, Laudenbach, Francois, Laudenbach, François, Laudenbach, François, Margalit, Dan, Margalit, Dan, Marin, Alexis, Marin, Alexis, Poenaru, Valentin, Poenaru, Valentin, Poénaru, Valentin, Poénaru, Valentin, Shub, Michael, Shub, Michael, |
author_variant |
a f af a f af f l fl v p vp |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Douady, Adrien, Douady, Adrien, Fathi, Albert, Fathi, Albert, Fried, David, Fried, David, Kim, Djun, Kim, Djun, Laudenbach, Francois, Laudenbach, Francois, Laudenbach, François, Laudenbach, François, Margalit, Dan, Margalit, Dan, Marin, Alexis, Marin, Alexis, Poenaru, Valentin, Poenaru, Valentin, Poénaru, Valentin, Poénaru, Valentin, Shub, Michael, Shub, Michael, |
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MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR VerfasserIn VerfasserIn MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR VerfasserIn VerfasserIn MitwirkendeR MitwirkendeR |
author_sort |
Fathi, Albert, |
title |
Thurston's Work on Surfaces (MN-48) / |
title_full |
Thurston's Work on Surfaces (MN-48) / Albert Fathi, François Laudenbach, Valentin Poénaru. |
title_fullStr |
Thurston's Work on Surfaces (MN-48) / Albert Fathi, François Laudenbach, Valentin Poénaru. |
title_full_unstemmed |
Thurston's Work on Surfaces (MN-48) / Albert Fathi, François Laudenbach, Valentin Poénaru. |
title_auth |
Thurston's Work on Surfaces (MN-48) / |
title_alt |
Frontmatter -- Contents -- Preface -- 1 An Overview of Thurston’s Theorems on Surfaces -- 2 Some Reminders about the Theory of Surface Diffeomorphisms -- 3 Review of Hyperbolic Geometry in Dimension 2 -- 4 The Space of Simple Closed Curves in a Surface -- A. Pair of Pants Decompositions of a Surface -- Appendix A -- 5 Measured Foliations -- B Spines of Surfaces -- Appendix B -- 6 The Classification of Measured Foliations -- C Explicit Formulas for Measured Foliations -- Appendix C -- 7 Teichmuller Space -- 8 The Thurston Compactification of Teichmuller Space -- D Estimates of Hyperbolic Distances -- Appendix D -- 9 The Classification of Surface Diffeomorphisms -- 10 Some Dynamics of Pseudo-Anosov Diffeomorphisms -- 11 Thurston’s Theory for Surfaces with Boundary -- 12 Uniqueness Theorems for Pseudo-Anosov Diffeomorphisms -- 13 Constructing Pseudo-Anosov Diffeomorphisms -- 14 Fibrations over S1 with Pseudo-Anosov Monodromy -- 15 Presentation of the Mapping Class Group -- Bibliography -- Index |
title_new |
Thurston's Work on Surfaces (MN-48) / |
title_sort |
thurston's work on surfaces (mn-48) / |
series |
Mathematical Notes ; |
series2 |
Mathematical Notes ; |
publisher |
Princeton University Press, |
publishDate |
2022 |
physical |
1 online resource (272 p.) : 150 line illus. |
contents |
Frontmatter -- Contents -- Preface -- 1 An Overview of Thurston’s Theorems on Surfaces -- 2 Some Reminders about the Theory of Surface Diffeomorphisms -- 3 Review of Hyperbolic Geometry in Dimension 2 -- 4 The Space of Simple Closed Curves in a Surface -- A. Pair of Pants Decompositions of a Surface -- Appendix A -- 5 Measured Foliations -- B Spines of Surfaces -- Appendix B -- 6 The Classification of Measured Foliations -- C Explicit Formulas for Measured Foliations -- Appendix C -- 7 Teichmuller Space -- 8 The Thurston Compactification of Teichmuller Space -- D Estimates of Hyperbolic Distances -- Appendix D -- 9 The Classification of Surface Diffeomorphisms -- 10 Some Dynamics of Pseudo-Anosov Diffeomorphisms -- 11 Thurston’s Theory for Surfaces with Boundary -- 12 Uniqueness Theorems for Pseudo-Anosov Diffeomorphisms -- 13 Constructing Pseudo-Anosov Diffeomorphisms -- 14 Fibrations over S1 with Pseudo-Anosov Monodromy -- 15 Presentation of the Mapping Class Group -- Bibliography -- Index |
isbn |
9781400839032 9783110442502 9783110784237 |
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Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA614 |
callnumber-sort |
QA 3614 |
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https://doi.org/10.1515/9781400839032?locatt=mode:legacy https://www.degruyter.com/isbn/9781400839032 https://www.degruyter.com/document/cover/isbn/9781400839032/original |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
514 - Topology |
dewey-full |
514 |
dewey-sort |
3514 |
dewey-raw |
514 |
dewey-search |
514 |
doi_str_mv |
10.1515/9781400839032?locatt=mode:legacy |
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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">Marin, Alexis, </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">Poenaru, Valentin, </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">Poénaru, Valentin, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shub, Michael, </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 University Press eBook-Package Backlist 2000-2013</subfield><subfield code="z">9783110442502</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 Gap Years</subfield><subfield code="z">9783110784237</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400839032?locatt=mode:legacy</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400839032</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9781400839032/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013</subfield><subfield code="c">2000</subfield><subfield code="d">2013</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-078423-7 Princeton University Press eBook-Package Gap Years</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=" " 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