A primer on mapping class groups

A primer on mapping class groups /

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"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 tim...

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Bibliographic Details
Online Access: Full text (MCPHS users only)
Main Author: Farb, Benson
Other Authors: Margalit, Dan, 1976-
Format: Electronic eBook
Language:English
Published: Princeton : Princeton University Press, 2012
Series:Princeton mathematical series ; 49.
Subjects:
Mappings (Mathematics)
Class groups (Mathematics)
Local Note:ProQuest Ebook Central

MARC

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100 1 |a Farb, Benson. 
245 1 2 |a A primer on mapping class groups /  |c Benson Farb and Dan Margalit. 
260 |a Princeton :  |b Princeton University Press,  |c ©2012. 
300 |a 1 online resource (xiv, 472 pages) :  |b illustrations 
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490 1 |a Princeton mathematical series ;  |v 49 
504 |a Includes bibliographical references (pages 447-463) and index. 
505 0 |a pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory. 
520 |a "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. The book begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification"--Provided by publisher 
546 |a In English. 
588 0 |a Print version record. 
590 |a ProQuest Ebook Central  |b Ebook Central University Press Subscription 
650 0 |a Mappings (Mathematics) 
650 0 |a Class groups (Mathematics) 
700 1 |a Margalit, Dan,  |d 1976-  |1 https://id.oclc.org/worldcat/entity/E39PCjCRhQYHmfKCtxyVYMVgXb 
758 |i has work:  |a A primer on mapping class groups (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGkKGcYkf4WMbTcXtV47Dy  |4 https://id.oclc.org/worldcat/ontology/hasWork 
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