000			02320cam a2200349 a 4500
999			_c4626 _d4626
001			16673114
005			20210421094136.0
008			110302s2012 njua b 001 0 eng
010			_a 2011008491
020			_a9780691147949 (hardback)
040			_aDLC _cDLC _dDLC
042			_apcc
050	0	0	_aQA360 _b.F37 2012
082	0	0	_a512.7/4 _222
084			_aMAT001000 _aMAT038000 _aMAT012010 _2bisacsh
100	1		_aFarb, Benson.
245	1	0	_aA primer on mapping class groups / _cBenson Farb, Dan Margalit.
260			_aPrinceton, NJ : _bPrinceton University Press, _c2012 .
300			_axiv, 472 p. : _bill. ; _c24 cm.
490	0		_aPrinceton mathematical series
504			_aIncludes bibliographical references and index.
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"--
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-
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2lcc _cBK