03562nam 2200793 a 450 991097164170332120200520144314.09786613227430978128322743812832274369781400839049140083904110.1515/9781400839049(CKB)2670000000107394(EBL)744105(OCoLC)745866891(SSID)ssj0000544607(PQKBManifestationID)11386007(PQKBTitleCode)TC0000544607(PQKBWorkID)10535999(PQKB)11480860(StDuBDS)EDZ0000406791(WaSeSS)Ind00024927(DE-B1597)453752(OCoLC)979779983(DE-B1597)9781400839049(Au-PeEL)EBL744105(CaPaEBR)ebr10492894(CaONFJC)MIL322743(PPN)199244294(PPN)187957592(FR-PaCSA)88837998(MiAaPQ)EBC744105(Perlego)735155(FRCYB88837998)88837998(EXLCZ)99267000000010739420110302d2012 uy 0engur|n|---|||||txtccrA primer on mapping class groups /Benson Farb and Dan MargalitCourse BookPrinceton, N.J. Princeton University Press20121 online resource (489 p.)Princeton mathematical series ;49Description based upon print version of record.9780691147949 0691147949 Includes bibliographical references and index.pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory."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.Princeton mathematical series ;49.Mappings (Mathematics)Class groups (Mathematics)Mappings (Mathematics)Class groups (Mathematics)512.7/4SK 260rvkFarb Benson60082Margalit Dan1976-1796199MiAaPQMiAaPQMiAaPQBOOK9910971641703321A primer on mapping class groups4337868UNINA