MARC Record from Library of Congress

LEADER: 02150nam a22003258a 4500
001 2011008491
003 DLC
005 20110310163753.0
008 110302s2011 nju b 001 0 eng
010 $a 2011008491
020 $a9780691147949 (hardback)
040 $aDLC$cDLC
042 $apcc
050 00 $aQA360$b.F37 2011
082 00 $a512.7/4$222
084 $aMAT001000$aMAT038000$aMAT012010$2bisacsh
100 1 $aFarb, Benson.
245 10 $aA primer on mapping class groups /$cBenson Farb, Dan Margalit.
260 $aPrinceton, NJ :$bPrinceton University Press,$c2011.
263 $a1110
300 $ap. cm.
490 0 $aPrinceton mathematical series
520 $a"The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students.The book begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichm©ơller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification"--$cProvided by publisher.
504 $aIncludes bibliographical references and index.
650 0 $aMappings (Mathematics)
650 0 $aClass groups (Mathematics)
650 7 $aMATHEMATICS / Advanced$2bisacsh.
650 7 $aMATHEMATICS / Topology$2bisacsh.
650 7 $aMATHEMATICS / Geometry / Algebraic$2bisacsh.
700 1 $aMargalit, Dan,$d1976-