cam a22 4500 551422726 CHVBK 20201017113615.0 m d cr |n |||||||| 181214s2012 njua sb 001 0 eng d 2011008491 978-0-691-14794-9 (hardback) (SERSOL)ssj0000544607 (NEBIS)009946814 (WaSeSS)ssj0000544607 DLC DLC DLC WaSeSS QA360 .F37 2012eb 512.7/4 22 MAT001000 MAT038000 MAT012010 bisacsh Farb Benson A primer on mapping class groups [Elektronische Daten] Benson Farb, Dan Margalit Princeton, NJ Princeton University Press 2012 1 online resource (xiv, 472 p.) ill Princeton mathematical series Includes bibliographical references and index. Lizenzbedingungen können den Zugang einschränken. License restrictions may limit access. "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"-- MATHEMATICS / Advanced bisacsh MATHEMATICS / Topology bisacsh MATHEMATICS / Geometry / Algebraic bisacsh Mappings (Mathematics) Class groups (Mathematics) HOMÖOMORPHISMEN UND DIFFEOMORPHISMEN (TOPOLOGIE) ger (ETHUDK)000013030 ethudk KLASSIFIKATION VON MANNIGFALTIGKEITEN (TOPOLOGIE) ger (ETHUDK)000013100 ethudk MODULRÄUME (ALGEBRAISCHE GEOMETRIE) ger (ETHUDK)000044418 ethudk TEICHMÜLLERRÄUME (ANALYTISCHE RÄUME) ger (ETHUDK)000039696 ethudk u HOMÖOMORPHISMEN UND DIFFEOMORPHISMEN (TOPOLOGIE) ger 515.126.8 nebis E1 u TEICHMÜLLERRÄUME (ANALYTISCHE RÄUME) ger 515.179.25,1 nebis E1 u MODULRÄUME (ALGEBRAISCHE GEOMETRIE) ger 512.742.72,1 nebis E1 u KLASSIFIKATION VON MANNIGFALTIGKEITEN (TOPOLOGIE) ger 515.164.25 nebis E1 u HOMEOMORPHISMS AND DIFFEOMORPHISMS (TOPOLOGY) eng 515.126.8 nebis E1 u HOMÉOMORPHISMES ET DIFFÉOMORPHISMES (TOPOLOGIE) fre 515.126.8 nebis E1 u TEICHMÜLLER SPACES (ANALYTIC SPACES) eng 515.179.25,1 nebis E1 u ESPACES DE TEICHMÜLLER (ESPACES ANALYTIQUES) fre 515.179.25,1 nebis E1 u MODULI SPACES (ALGEBRAIC GEOMETRY) eng 512.742.72,1 nebis E1 u ESPACES DE MODULES (GÉOMÉTRIE ALGÉBRIQUE) fre 512.742.72,1 nebis E1 u CLASSIFICATION DE VARIÉTÉS (TOPOLOGIE) fre 515.164.25 nebis E1 u CLASSIFICATION OF MANIFOLDS (TOPOLOGY) eng 515.164.25 nebis E1 Margalit Dan 1976- https://www.degruyter.com/openurl?genre=book&isbn=9781400839049 Uni Basel: Volltext https://ebookcentral.proquest.com/lib/unibern/detail.action?docID=744105 Uni Bern: Volltext https://www.degruyter.com/openurl?genre=book&isbn=9781400839049 Uni Bern: Volltext BK020053 XK020053 XK020000 De Gruyter PDA STM eBooks E-Books von 360MarcUpdates Ebook Central All Subscribed Titles PDA Package: All eBook Content, incl. OWV/AV PDA5EBK EText nebis ED E01-Myilibrary-201309 nebis ER E01-Safari201409 nebis ER noalma ids I 122 E01-20140325 Safari E01-20120101 NEBIS E01 E01 EL IDSBB A145 A145 145VT IDSBB B405 B405 405VT NELB4052004 IDSBB B405 B405 405VT NELB4052004 IDSBB 100 1- Farb Benson IDSBB 490 0- Princeton mathematical series IDSBB 700 1- Margalit Dan 1976- IDSBB 856 40 https://www.degruyter.com/openurl?genre=book&isbn=9781400839049 Uni Basel: Volltext IDSBB 856 40 https://ebookcentral.proquest.com/lib/unibern/detail.action?docID=744105 Uni Bern: Volltext IDSBB 856 40 https://www.degruyter.com/openurl?genre=book&isbn=9781400839049 Uni Bern: Volltext NEBIS 100 1- Farb Benson NEBIS 490 -- Princeton mathematical series 49 NEBIS 700 1- Margalit Dan NEBIS 856 -- http://sfx.ethz.ch/sfx_locater?sid=ALEPH:EBI01&genre=book&isbn=9780691147949 Online via SFX Volltext SWISSBIB 267687680