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 Teichmuller 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.
"synopsis" may belong to another edition of this title.
"It is clear that a lot of care has been taken in the production of this book, something that indicates the authors' love for the subject. This book should now become the standard text for the subject."---Stephen P Humphries, Mathematical Reviews
"[T]his is a very pleasant and appealing book and it is an excellent reference for any reader willing to learn about this fascinating part of mathematics."---Raquel Díaz, Álvaro Martínez, European Mathematical Society
Benson 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.
"About this title" may belong to another edition of this title.
Shipping:
£ 1.99
Within U.S.A.
Shipping:
£ 1.99
Within U.S.A.
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: New. Seller Inventory # 8616243-n
Quantity: 3 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # WP-9780691147949
Quantity: 6 available
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # WP-9780691147949
Quantity: 6 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: As New. Unread book in perfect condition. Seller Inventory # 8616243
Quantity: 3 available
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Condition: New. 2011. Hardcover. The study of the mapping class group Mod(S) is a classical topic that experiences a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Series: Princeton Mathematical Series. Num Pages: 512 pages, 115 line illus. BIC Classification: PBMW; PBPD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 239 x 165 x 37. Weight in Grams: 838. . . . . . Seller Inventory # V9780691147949
Quantity: 1 available
Seller: GreatBookPricesUK, Castle Donington, DERBY, United Kingdom
Condition: New. Seller Inventory # 8616243-n
Quantity: 3 available
Seller: Brook Bookstore, Milano, MI, Italy
Condition: new. Seller Inventory # a8590f9080972984c7dc9b7d91628ee3
Quantity: 6 available
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Hardback. Condition: New. New copy - Usually dispatched within 4 working days. The study of the mapping class group Mod(S) is a classical topic that experiences a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Seller Inventory # B9780691147949
Quantity: 7 available
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Condition: New. In. Seller Inventory # ria9780691147949_new
Quantity: 6 available
Seller: GreatBookPricesUK, Castle Donington, DERBY, United Kingdom
Condition: As New. Unread book in perfect condition. Seller Inventory # 8616243
Quantity: 3 available