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The Resource A primer on mapping class groups, Benson Farb and Dan Margalit, (electronic resource)

A primer on mapping class groups, Benson Farb and Dan Margalit, (electronic resource)

Label
A primer on mapping class groups
Title
A primer on mapping class groups
Statement of responsibility
Benson Farb and Dan Margalit
Creator
Contributor
Subject
Language
eng
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.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 Teichm©oller 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
Member of
Cataloging source
MiAaPQ
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Princeton mathematical series
Series volume
49
A primer on mapping class groups, Benson Farb and Dan Margalit, (electronic resource)
Label
A primer on mapping class groups, Benson Farb and Dan Margalit, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/connectny/detail.action?docID=744105
Publication
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Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4037899'}
Extent
xiv, 472 p.
Form of item
  • online
  • electronic
Other physical details
ill.
Reproduction note
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
Specific material designation
remote

Library Locations

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      42.729766 -73.682577
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