# A primer on mapping class groups / Benson Farb, Dan Margalit.

Material type: TextSeries: Princeton mathematical seriesPublication details: Princeton, NJ : Princeton University Press, 2012 .Description: xiv, 472 p. : ill. ; 24 cmISBN:- 9780691147949 (hardback)

- 512.74 22 FAR

Item type | Current library | Collection | Call number | Copy number | Status | Notes | Date due | Barcode | Item holds | |
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Reference | IIT Goa Central Library | Reference | 512.74 /FAR (Browse shelf(Opens below)) | 1 | Reference | CB/10564|| 19-11-22|| 25.00%|| USD 90 | 4096 |

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512.55/ MUR C*-algebras and operator theory / | 512.55/ROR An introduction to K-theory for C*-algebras / | 512.55 / WEI An introduction to homological algebra / | 512.74 /FAR A primer on mapping class groups / | 512.815// ATI Introduction to commutative algebra/ | 512.9 JAC Basic Algebra I | 514.3 LEE Introduction to smooth manifolds / |

Includes bibliographical references and index.

"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©ơller 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.