A Primer on Mapping Class Groups

Dan Margalit

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Language: English

Published by Princeton University Press Okt 2011, 2011

0691147949 / 9780691147949

Series: Book 27 of 29 - Princeton Mathematical

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Neuware - 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. A Primer on Mapping Class Groups 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.

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Title
A Primer on Mapping Class Groups
Author
Dan Margalit
Publisher
Princeton University Press Okt 2011
Publication year
2011
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0691147949
ISBN 13
9780691147949
Item weight
883 grams
Dimensions
242x170x37 mm
Series
Book 27 of 29: Princeton Mathematical

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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