All listings for this product
Best-selling in Non-Fiction Books
Save on Non-Fiction Books
- AU $39.90Trending at AU $51.50
- AU $32.78Trending at AU $40.84
- AU $30.68Trending at AU $39.99
- AU $31.98Trending at AU $45.25
- AU $13.01Trending at AU $16.66
- AU $33.35Trending at AU $36.06
- AU $15.79Trending at AU $25.15
About this product
- DescriptionThe 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 Teichmller 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-Asov theory, and Thurston's approach to the classification.
- Author BiographyBenson Farb is professor of mathematics at the University of Chicago. He is the editor of Problems on Mapping Class Groups and Related Topics and the coauthor of Noncommutative Algebra . Dan Margalit is assistant professor of mathematics at Georgia Institute of Technology.
- Author(s)Benson Farb,Dan Margalit
- PublisherPrinceton University Press
- Date of Publication26/09/2011
- Series TitlePrinceton Mathematical Series
- Series Part/Volume Number49
- Place of PublicationNew Jersey
- Country of PublicationUnited States
- ImprintPrinceton University Press
- Content Note115 line illus.
- Weight857 g
- Width152 mm
- Height229 mm
- Spine38 mm
This item doesn't belong on this page.
Thanks, we'll look into this.