MARC Record from harvard_bibliographic_metadata

LEADER: 02442cam a2200397 a 4500
001 012965047-1
005 20120418021523.0
008 110302s2012 njua b 001 0 eng
010 $a 2011008491
016 7 $a015748413$2Uk
020 $a9780691147949 (hardback)
020 $a0691147949 (hardback)
035 0 $aocn587249112
040 $aDLC$cDLC$dYDX$dBTCTA$dYDXCP$dGZM$dUKMGB$dZCU$dBWX
042 $apcc
050 00 $aQA360$b.F37 2012
082 00 $a512.7/4$222
084 $aMAT001000$aMAT038000$aMAT012010$2bisacsh
100 1 $aFarb, Benson.
245 12 $aA primer on mapping class groups /$cBenson Farb and Dan Margalit.
260 $aPrinceton, NJ :$bPrinceton University Press,$cc2012.
300 $axiv, 472 p. :$bill. ;$c24 cm.
490 1 $aPrinceton mathematical series ;$v49
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"--Provided by publisher.
504 $aIncludes bibliographical references (p. [447]-463) and index.
650 7 $aMATHEMATICS / Geometry / Algebraic.$2bisacsh
650 7 $aMATHEMATICS / Topology.$2bisacsh
650 7 $aMATHEMATICS / Advanced.$2bisacsh
650 0 $aMappings (Mathematics)
650 0 $aClass groups (Mathematics)
700 1 $aMargalit, Dan,$d1976-
830 0 $aPrinceton mathematical series ;$v49.
899 $a415_565984
988 $a20111107
049 $aCLSL
906 $0DLC