A primer on mapping class groups (Princeton mathematical series)

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time givi...

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Bibliographic Details
Main Authors:	Farb, Benson, Margalit, Dan
Format:	eBook Book
Language:	English
Published:	Princeton, N.J Princeton University Press 2011
Edition:	1
Series:	Princeton Mathematical Series
Subjects:	Algebraic Automorphism Big O notation Bijection Braid group Class groups (Mathematics) Closed geodesic Cohomology Compact space Compactification (mathematics) Conjugacy class Continuous function Coordinate system Corollary Coset Covering space Curve Dehn twist Diagram (category theory) Diffeomorphism Dimension (vector space) Disjoint union Disk (mathematics) Division by zero Eigenvalues and eigenvectors Elementary matrix Equivalence class Euler characteristic Exact sequence Existential quantification Finite group Finitely presented Foliation Free group Fundamental domain Fundamental group Geometric group theory Geometry Homeomorphism Homology (mathematics) Homomorphism Homotopy Hyperbolic geometry Infimum and supremum Intersection (set theory) Intersection number (graph theory) Jordan curve theorem Linear map Mapping class group Mappings (Mathematics) Mathematical induction MATHEMATICS MATHEMATICS / Advanced bisacsh MATHEMATICS / Geometry / Algebraic MATHEMATICS / Geometry / Algebraic bisacsh MATHEMATICS / Geometry / General MATHEMATICS / Topology bisacsh Metric space Moduli space Orbifold Pair of pants (mathematics) PBMW PBPD Permutation Pointwise Quadratic differential Quasi-isometry Rectangle Riemann surface Riemannian manifold Simply connected space Special case Subgroup Subset Summation Theorem Topology Train track (mathematics) Transverse measure Upper and lower bounds Upper half-plane Vector space Hyperbolic geometry Homology (mathematics) Bijection Subset Rectangle Subgroup Conjugacy class Closed geodesic Vector space Mathematical induction Euler characteristic Eigenvalues and eigenvectors Pair of pants (mathematics) Geometric group theory Fundamental domain Corollary Permutation Simply connected space Intersection number (graph theory) Finitely presented Curve Disk (mathematics) Continuous function Topology Cohomology Homomorphism Riemannian manifold Riemann surface Jordan curve theorem Mapping class group Existential quantification Dehn twist Division by zero Infimum and supremum Coset Dimension (vector space) Finite group Big O notation Homeomorphism Homotopy Special case Quasi-isometry Foliation Summation Train track (mathematics) Orbifold Diffeomorphism Equivalence class Metric space Diagram (category theory) Coordinate system Fundamental group Upper and lower bounds Linear map Covering space Pointwise Moduli space Theorem Exact sequence Free group Upper half-plane Elementary matrix Automorphism Compact space Disjoint union Braid group Compactification (mathematics) Intersection (set theory) Transverse measure Quadratic differential
ISBN:	0691147949, 9780691147949, 1400839041, 9781400839049
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Summary:	The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students.
Bibliography:	Includes bibliographical references (p. [447]-463) and index
ISBN:	0691147949 9780691147949 1400839041 9781400839049
DOI:	10.1515/9781400839049