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A primer on mapping class groups (Princeton mathematical series)
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A primer on mapping class groups (Princeton mathematical series)
A primer on mapping class groups (Princeton mathematical series)
eBook

A primer on mapping class groups (Princeton mathematical series)

2012,2011
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Overview
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.
Publisher
Princeton University Press
Subject

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

ISBN
0691147949, 9780691147949, 1400839041, 9781400839049