What's Next? : : The Mathematical Legacy of William P. Thurston (AMS-205) / / ed. by Dylan Thurston.
William Thurston (1946-2012) was one of the great mathematicians of the twentieth century. He was a visionary whose extraordinary ideas revolutionized a broad range of mathematical fields, from foliations, contact structures, and Teichmüller theory to automorphisms of surfaces, hyperbolic geometry,...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2020] ©2019 |
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What's Next? : The Mathematical Legacy of William P. Thurston (AMS-205) / ed. by Dylan Thurston. Princeton, NJ : Princeton University Press, [2020] ©2019 1 online resource (472 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 363 Frontmatter -- Contents -- Preface -- Certifying the Thurston Norm via SL(2,C)-twisted Homology -- The Profinite Completion of 3-Manifold Groups, Fiberedness and the Thurston Norm -- Profinite Rigidity, Fibering, and the Figure-Eight Knot -- Coxeter Groups and Random Groups -- Cries and Whispers in Wind-Tree Forests -- Groups of Homeomorphisms of One-Manifolds, I: Actions of Nonlinear Groups -- Morse Spectra, Homology Measures, Spaces of Cycles and Parametric Packing Problems -- Right-Angled Hexagon Tilings of the Hyperbolic Plane -- On Balanced Planar Graphs, Following W. Thurston -- Construction of Subsurfaces via Good Pants -- Dehn Surgery on Knots in S3 Producing Nil Seifert Fibered Spaces -- Degree-d-invariant Laminations -- An Invitation to Coherent Groups -- A Decade of Thurston Stories -- List of Contributors restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star William Thurston (1946-2012) was one of the great mathematicians of the twentieth century. He was a visionary whose extraordinary ideas revolutionized a broad range of mathematical fields, from foliations, contact structures, and Teichmüller theory to automorphisms of surfaces, hyperbolic geometry, geometrization of 3-manifolds, geometric group theory, and rational maps. In addition, he discovered connections between disciplines that led to astonishing breakthroughs in mathematical understanding as well as the creation of entirely new fields. His far-reaching questions and conjectures led to enormous progress by other researchers. What's Next? brings together many of today's leading mathematicians to describe recent advances and future directions inspired by Thurston's transformative ideas.Including valuable insights from his colleagues and former students, What's Next? discusses Thurston's fundamental contributions to topology, geometry, and dynamical systems and includes many deep and original contributions to the field. This incisive and wide-ranging book also explores how he introduced new ways of thinking about and doing mathematics, innovations that have had a profound and lasting impact on the mathematical community as a whole. 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) Dynamics. Geometry. Topology. MATHEMATICS / General. bisacsh Arbitrarily large. Asymptotic expansion. Automorphism. Big O notation. Braid group. Branch point. Central series. Character variety. Characterization (mathematics). Cohomology operation. Cohomology. Commutative property. Conjecture. Conjugacy class. Convex hull. Covering space. Coxeter group. Curvature. Dehn's lemma. Diagram (category theory). Disjoint union. Eigenfunction. Endomorphism. Epimorphism. Equivalence class. Equivalence relation. Euclidean space. Extreme point. Faithful representation. Fiber bundle. Free group. Free product. Fundamental group. Geometrization conjecture. HNN extension. Haar measure. Homeomorphism. Homotopy. Hyperbolic 3-manifold. Hyperbolic geometry. Hyperbolic manifold. Hyperbolic space. Hypercube. I0. Inclusion map. Incompressible surface. JSJ decomposition. Jordan curve theorem. Julia set. Klein bottle. Kleinian group. Lebesgue measure. Leech lattice. Limit point. Lyapunov exponent. Mahler measure. Manifold decomposition. Mapping cylinder. Marriage theorem. Maxima and minima. Moduli space. Möbius strip. Möbius transformation. Natural topology. Non-Euclidean geometry. Non-positive curvature. Normal subgroup. Open set. Orientability. Pair of pants (mathematics). Perfect group. Pleated surface. Polynomial. Preorder. Probability measure. Pullback (category theory). Pullback (differential geometry). Quadric. Quasi-isometry. Quasiconvex function. Rectangle. Riemann surface. Riemannian manifold. Saddle point. Sectional curvature. Sign (mathematics). Simple algebra. Simply connected space. Special case. Subgroup. Subset. Symplectic geometry. Theorem. Total order. Unit disk. Unit sphere. Upper and lower bounds. Vector bundle. Agol, Ian, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Baik, Hyungryul, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Boileau, Michel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bridson, Martin R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Calegari, Danny, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Delecroix, Vincent, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dunfield, Nathan M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Farb, Benson, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Franks, John, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Friedl, Stefan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gromov, Misha, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hubbard, John H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kenyon, Richard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Koch, Sarah, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lei, Tan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lindsey, Kathryn A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Liu, Yi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Markovic, Vladimir, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ni, Yi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Reid, Alan W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sullivan, Dennis, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Thurston, Dylan P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Thurston, Dylan, editor. edt http://id.loc.gov/vocabulary/relators/edt Thurston, William P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wise, Daniel T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Yan, Gao, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zhang, Xingru, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zorich, Anton, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English 9783110704716 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 9783110704518 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English 9783110704846 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 9783110704662 ZDB-23-DMA 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 Complete eBook-Package 2020 9783110690088 https://doi.org/10.1515/9780691185897?locatt=mode:legacy https://www.degruyter.com/isbn/9780691185897 Cover https://www.degruyter.com/document/cover/isbn/9780691185897/original |
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Agol, Ian, Agol, Ian, Baik, Hyungryul, Baik, Hyungryul, Boileau, Michel, Boileau, Michel, Bridson, Martin R., Bridson, Martin R., Calegari, Danny, Calegari, Danny, Delecroix, Vincent, Delecroix, Vincent, Dunfield, Nathan M., Dunfield, Nathan M., Farb, Benson, Farb, Benson, Franks, John, Franks, John, Friedl, Stefan, Friedl, Stefan, Gromov, Misha, Gromov, Misha, Hubbard, John H., Hubbard, John H., Kenyon, Richard, Kenyon, Richard, Koch, Sarah, Koch, Sarah, Lei, Tan, Lei, Tan, Lindsey, Kathryn A., Lindsey, Kathryn A., Liu, Yi, Liu, Yi, Markovic, Vladimir, Markovic, Vladimir, Ni, Yi, Ni, Yi, Reid, Alan W., Reid, Alan W., Sullivan, Dennis, Sullivan, Dennis, Thurston, Dylan P., Thurston, Dylan P., Thurston, Dylan, Thurston, Dylan, Thurston, William P., Thurston, William P., Wise, Daniel T., Wise, Daniel T., Yan, Gao, Yan, Gao, Zhang, Xingru, Zhang, Xingru, Zorich, Anton, Zorich, Anton, |
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Agol, Ian, Agol, Ian, Baik, Hyungryul, Baik, Hyungryul, Boileau, Michel, Boileau, Michel, Bridson, Martin R., Bridson, Martin R., Calegari, Danny, Calegari, Danny, Delecroix, Vincent, Delecroix, Vincent, Dunfield, Nathan M., Dunfield, Nathan M., Farb, Benson, Farb, Benson, Franks, John, Franks, John, Friedl, Stefan, Friedl, Stefan, Gromov, Misha, Gromov, Misha, Hubbard, John H., Hubbard, John H., Kenyon, Richard, Kenyon, Richard, Koch, Sarah, Koch, Sarah, Lei, Tan, Lei, Tan, Lindsey, Kathryn A., Lindsey, Kathryn A., Liu, Yi, Liu, Yi, Markovic, Vladimir, Markovic, Vladimir, Ni, Yi, Ni, Yi, Reid, Alan W., Reid, Alan W., Sullivan, Dennis, Sullivan, Dennis, Thurston, Dylan P., Thurston, Dylan P., Thurston, Dylan, Thurston, Dylan, Thurston, William P., Thurston, William P., Wise, Daniel T., Wise, Daniel T., Yan, Gao, Yan, Gao, Zhang, Xingru, Zhang, Xingru, Zorich, Anton, Zorich, Anton, |
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title |
What's Next? : The Mathematical Legacy of William P. Thurston (AMS-205) / |
spellingShingle |
What's Next? : The Mathematical Legacy of William P. Thurston (AMS-205) / Annals of Mathematics Studies ; Frontmatter -- Contents -- Preface -- Certifying the Thurston Norm via SL(2,C)-twisted Homology -- The Profinite Completion of 3-Manifold Groups, Fiberedness and the Thurston Norm -- Profinite Rigidity, Fibering, and the Figure-Eight Knot -- Coxeter Groups and Random Groups -- Cries and Whispers in Wind-Tree Forests -- Groups of Homeomorphisms of One-Manifolds, I: Actions of Nonlinear Groups -- Morse Spectra, Homology Measures, Spaces of Cycles and Parametric Packing Problems -- Right-Angled Hexagon Tilings of the Hyperbolic Plane -- On Balanced Planar Graphs, Following W. Thurston -- Construction of Subsurfaces via Good Pants -- Dehn Surgery on Knots in S3 Producing Nil Seifert Fibered Spaces -- Degree-d-invariant Laminations -- An Invitation to Coherent Groups -- A Decade of Thurston Stories -- List of Contributors |
title_sub |
The Mathematical Legacy of William P. Thurston (AMS-205) / |
title_full |
What's Next? : The Mathematical Legacy of William P. Thurston (AMS-205) / ed. by Dylan Thurston. |
title_fullStr |
What's Next? : The Mathematical Legacy of William P. Thurston (AMS-205) / ed. by Dylan Thurston. |
title_full_unstemmed |
What's Next? : The Mathematical Legacy of William P. Thurston (AMS-205) / ed. by Dylan Thurston. |
title_auth |
What's Next? : The Mathematical Legacy of William P. Thurston (AMS-205) / |
title_alt |
Frontmatter -- Contents -- Preface -- Certifying the Thurston Norm via SL(2,C)-twisted Homology -- The Profinite Completion of 3-Manifold Groups, Fiberedness and the Thurston Norm -- Profinite Rigidity, Fibering, and the Figure-Eight Knot -- Coxeter Groups and Random Groups -- Cries and Whispers in Wind-Tree Forests -- Groups of Homeomorphisms of One-Manifolds, I: Actions of Nonlinear Groups -- Morse Spectra, Homology Measures, Spaces of Cycles and Parametric Packing Problems -- Right-Angled Hexagon Tilings of the Hyperbolic Plane -- On Balanced Planar Graphs, Following W. Thurston -- Construction of Subsurfaces via Good Pants -- Dehn Surgery on Knots in S3 Producing Nil Seifert Fibered Spaces -- Degree-d-invariant Laminations -- An Invitation to Coherent Groups -- A Decade of Thurston Stories -- List of Contributors |
title_new |
What's Next? : |
title_sort |
what's next? : the mathematical legacy of william p. thurston (ams-205) / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2020 |
physical |
1 online resource (472 p.) |
contents |
Frontmatter -- Contents -- Preface -- Certifying the Thurston Norm via SL(2,C)-twisted Homology -- The Profinite Completion of 3-Manifold Groups, Fiberedness and the Thurston Norm -- Profinite Rigidity, Fibering, and the Figure-Eight Knot -- Coxeter Groups and Random Groups -- Cries and Whispers in Wind-Tree Forests -- Groups of Homeomorphisms of One-Manifolds, I: Actions of Nonlinear Groups -- Morse Spectra, Homology Measures, Spaces of Cycles and Parametric Packing Problems -- Right-Angled Hexagon Tilings of the Hyperbolic Plane -- On Balanced Planar Graphs, Following W. Thurston -- Construction of Subsurfaces via Good Pants -- Dehn Surgery on Knots in S3 Producing Nil Seifert Fibered Spaces -- Degree-d-invariant Laminations -- An Invitation to Coherent Groups -- A Decade of Thurston Stories -- List of Contributors |
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illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
516 - Geometry |
dewey-full |
516 |
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3516 |
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Thurston -- </subfield><subfield code="t">Construction of Subsurfaces via Good Pants -- </subfield><subfield code="t">Dehn Surgery on Knots in S3 Producing Nil Seifert Fibered Spaces -- </subfield><subfield code="t">Degree-d-invariant Laminations -- </subfield><subfield code="t">An Invitation to Coherent Groups -- </subfield><subfield code="t">A Decade of Thurston Stories -- </subfield><subfield code="t">List of Contributors</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">William Thurston (1946-2012) was one of the great mathematicians of the twentieth century. He was a visionary whose extraordinary ideas revolutionized a broad range of mathematical fields, from foliations, contact structures, and Teichmüller theory to automorphisms of surfaces, hyperbolic geometry, geometrization of 3-manifolds, geometric group theory, and rational maps. In addition, he discovered connections between disciplines that led to astonishing breakthroughs in mathematical understanding as well as the creation of entirely new fields. His far-reaching questions and conjectures led to enormous progress by other researchers. What's Next? brings together many of today's leading mathematicians to describe recent advances and future directions inspired by Thurston's transformative ideas.Including valuable insights from his colleagues and former students, What's Next? discusses Thurston's fundamental contributions to topology, geometry, and dynamical systems and includes many deep and original contributions to the field. This incisive and wide-ranging book also explores how he introduced new ways of thinking about and doing mathematics, innovations that have had a profound and lasting impact on the mathematical community as a whole.</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">Dynamics.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Geometry.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Topology.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Arbitrarily large.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Asymptotic expansion.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Automorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Big O notation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Braid group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Branch 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