000			02300cam a2200325 a 4500
001			16673114
005			20221220154246.0
008			110302s2012 njua b 001 0 eng
010			_a 2011008491
020			_a9780691147949 (hardback)
040			_aDLC _cDLC _dDLC
042			_apcc
082	0	0	_a512.74 _222 _bFAR
100	1		_aFarb, Benson. _91847
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"-- _cProvided by publisher.
650		0	_aMappings (Mathematics) _91848
650		0	_aClass groups (Mathematics) _91849
650		7	_aMATHEMATICS / Advanced _2bisacsh. _91850
650		7	_aMATHEMATICS / Topology _2bisacsh. _91851
650		7	_aMATHEMATICS / Geometry / Algebraic _2bisacsh. _91852
700	1		_aMargalit, Dan, _d1976- _91853
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c1516 _d1516