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001448604 019__ $$a1338643022
001448604 020__ $$a9783030975609$$q(electronic bk.)
001448604 020__ $$a3030975606$$q(electronic bk.)
001448604 020__ $$z9783030975593$$q(print)
001448604 020__ $$z3030975592
001448604 0247_ $$a10.1007/978-3-030-97560-9$$2doi
001448604 035__ $$aSP(OCoLC)1338838242
001448604 040__ $$aEBLCP$$beng$$epn$$cEBLCP$$dGW5XE$$dYDX$$dOCLCQ$$dOCLCF$$dSFB$$dUKAHL$$dOCLCQ
001448604 049__ $$aISEA
001448604 050_4 $$aQA445
001448604 08204 $$a516$$223/eng/20220817
001448604 24500 $$aIn the tradition of Thurston II :$$bgeometry and groups /$$cKen'ichi Ohshika, Athanase Papadopoulos, editors.
001448604 2463_ $$aGeometry and groups
001448604 260__ $$aCham :$$bSpringer,$$c2022.
001448604 300__ $$a1 online resource (525 pages)
001448604 336__ $$atext$$btxt$$2rdacontent
001448604 337__ $$acomputer$$bc$$2rdamedia
001448604 338__ $$aonline resource$$bcr$$2rdacarrier
001448604 500__ $$a5.4.2 Seiberg-Witten Invariant of a 3-Manifold
001448604 504__ $$aIncludes bibliographical references and index.
001448604 5050_ $$aIntro -- Preface -- Contents -- 1 Introduction -- 2 A Survey of Complex Hyperbolic Kleinian Groups -- 2.1 Introduction -- 2.2 Complex Hyperbolic Space -- 2.3 Basics of Discrete Subgroups of PU(n,1) -- 2.4 Margulis Lemma and Thick-Thin Decomposition -- 2.5 Geometrically Finite Groups -- 2.6 Ends of Negatively Curved Manifolds -- 2.7 Critical Exponent -- 2.8 Examples -- 2.9 Complex Hyperbolic Kleinian Groups and Function Theory on Complex Hyperbolic Manifolds -- 2.10 Conjectures and Questions -- Appendix A: Horofunction Compactification -- Appendix B: Two Classical Peano Continua
001448604 5058_ $$aAppendix C: Gromov-Hyperbolic Spaces and Groups -- Appendix D: Orbifolds -- Appendix E: Ends of Spaces -- Appendix F: Generalities on Function Theory on Complex Manifolds -- Appendix G (by Mohan Ramachandran): Proof of Theorem 2.19 -- References -- 3 Möbius Structures, Hyperbolic Ends and k-Surfaces in Hyperbolic Space -- 3.1 Overview -- 3.1.1 Hyperbolic Ends and Möbius Structures -- 3.1.2 Infinitesimal Strict Convexity, Quasicompleteness and the Asymptotic Plateau Problem -- 3.1.3 Schwarzian Derivatives -- 3.1.4 Closing Remarks and Acknowledgements -- 3.2 Möbius Structures
001448604 5058_ $$a3.2.1 Möbius Structures -- 3.2.2 The Möbius Disk Decomposition and the Join Relation -- 3.2.3 Geodesic Arcs and Convexity -- 3.2.4 The Kulkarni-Pinkall Form -- 3.2.5 Analytic Properties of the Kulkarni-Pinkall Form -- 3.3 Hyperbolic Ends -- 3.3.1 Hyperbolic Ends -- 3.3.2 The Half-Space Decomposition -- 3.3.3 Geodesic Arcs and Convexity -- 3.3.4 Ideal Boundaries -- 3.3.5 Extensions of Möbius Surfaces -- 3.3.6 Left Inverses and Applications -- 3.4 Infinitesimally Strictly Convex Immersions -- 3.4.1 Infinitesimally Strictly Convex Immersions -- 3.4.2 A Priori Estimates
001448604 5058_ $$a3.4.3 Cheeger-Gromov Convergence -- 3.4.4 Labourie's Theorems and Their Applications -- 3.4.5 Uniqueness and Existence -- Appendix A: A Non-complete k-Surface -- Appendix B: Category Theory -- References -- 4 Cone 3-Manifolds -- 4.1 Introduction -- 4.2 Cone Manifolds -- 4.3 Hyperbolic Dehn Filling -- 4.4 Local Rigidity -- 4.5 Sequences of Cone Manifolds -- 4.5.1 Compactness Theorem -- 4.5.2 Cone-Thin Part -- 4.5.3 Decreasing Cone Angles: Global Rigidity -- 4.5.4 Increasing Cone Angles -- 4.6 Examples -- 4.6.1 Hyperbolic Two-Bridge Knots and Links -- 4.6.2 Montesinos Links -- 4.6.3 A Cusp Opening
001448604 5058_ $$a4.6.4 Borromean Rings -- 4.6.5 Borromean Rings Revisited: Spherical Structures -- References -- 5 A Survey of the Thurston Norm -- 5.1 Introduction -- Organization -- Conventions and Notation -- 5.2 Foundations of the Thurston Norm -- 5.2.1 Thurston Norm -- 5.2.2 Norm Balls and Fibrations Over a Circle -- 5.2.3 Norm-Minimizing Surfaces and Codimension-1 Foliations -- 5.2.4 Singular and Gromov Norms -- 5.3 Alexander and Teichmüller Polynomials -- 5.3.1 Alexander Polynomial -- 5.3.2 Abelian Torsion -- 5.3.3 Teichmüller Polynomial -- 5.4 Seiberg-Witten Invariant -- 5.4.1 Seiberg-Witten Theory
001448604 506__ $$aAccess limited to authorized users.
001448604 520__ $$aThe purpose of this volume and of the other volumes in the same series is to provide a collection of surveys that allows the reader to learn the important aspects of William Thurstons heritage. Thurstons ideas have altered the course of twentieth century mathematics, and they continue to have a significant influence on succeeding generations of mathematicians. The topics covered in the present volume include com-plex hyperbolic Kleinian groups, Mobius structures, hyperbolic ends, cone 3-manifolds, Thurstons norm, surgeries in representation varieties, triangulations, spaces of polygo-nal decompositions and of singular flat structures on surfaces, combination theorems in the theories of Kleinian groups, hyperbolic groups and holomorphic dynamics, the dynamics and iteration of rational maps, automatic groups, and the combinatorics of right-angled Artin groups.
001448604 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 17, 2022).
001448604 60010 $$aThurston, William P.,$$d1946-2012$$1https://isni.org/isni/0000000110790622
001448604 650_0 $$aGeometry.
001448604 650_0 $$aGroup theory.
001448604 655_7 $$aLlibres electrònics.$$2thub
001448604 655_0 $$aElectronic books.
001448604 7001_ $$aŌshika, Ken'ichi,$$d1961-
001448604 7001_ $$aPapadopoulos, Athanase.
001448604 77608 $$iPrint version:$$aOhshika, Ken'ichi.$$tIn the Tradition of Thurston II.$$dCham : Springer International Publishing AG, ©2022$$z9783030975593
001448604 852__ $$bebk
001448604 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-97560-9$$zOnline Access$$91397441.1
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001448604 980__ $$aEBOOK
001448604 982__ $$aEbook
001448604 983__ $$aOnline
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