A primer on mapping class groups
 Author/Creator
 Farb, Benson.
 Language
 English.
 Imprint
 Princeton, NJ : Princeton University Press, c2012.
 Physical description
 xiv, 472 p. : ill. ; 24 cm.
 Series
 Princeton mathematical series ; 49.
Access
Available online
 proquest.safaribooksonline.com Safari Books Online

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QA3 .P6 V.49

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QA3 .P6 V.49
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Contributors
 Contributor
 Margalit, Dan, 1976
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Publisher's 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 selfcontained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main grouptheoretical properties of Mod(S), from finite generation by Dehn twists and lowdimensional homology to the DehnNielsenBaer 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 Teichmller space and its geometry, and uses the action of Mod(S) on it to prove the NielsenThurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudoAnosov theory, and Thurston's approach to the classification.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Responsibility
 Benson Farb and Dan Margalit.
 Series
 Princeton mathematical series ; 49
 ISBN
 0691147949
 9780691147949