A Primer on Mapping Class Groups (PMS-49) PDF (Adobe DRM) download by Benson Farb

A Primer on Mapping Class Groups (PMS-49)

Princeton University Press
Publication date: May 2011
ISBN: 9781400839049
Digital Book format: PDF (Adobe DRM)

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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 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 Teichm├╝ller 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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A Primer on Mapping Class Groups (PMS-49) PDF (Adobe DRM) download by Benson Farb
Princeton University Press, May 2011
ISBN: 9781400839049
EAN:  9781400839049
PDF (Adobe DRM)
List Price: $75.00 eBook price: $70.99
A Primer on Mapping Class Groups (PMS-49) ePub (Adobe DRM) download by Benson Farb
Princeton University Press, October 2011
ISBN: 9781400839049
EAN:  2370003810349
ePub (Adobe DRM)
List Price: $75.00 eBook price: $70.99