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_aFarb, Benson _eVerfasserIn _4aut |
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| 245 | 1 | 2 |
_aA primer on mapping class groups _cBenson Farb and Dan Margalit |
| 264 | 1 |
_aPrinceton, N.J.[u.a.] _bPrinceton Univ. Press _c2012 [erschienen] 2011 |
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| 300 |
_axiv, 472 S. _bIllustrationen |
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_aText _btxt _2rdacontent |
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_aohne Hilfsmittel zu benutzen _bn _2rdamedia |
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_aPrinceton mathematical series _v49 |
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| 500 | _aIncludes bibliographical references and index | ||
| 500 | _aLiteraturverz. S [447] - 463 | ||
| 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"-- | ||
| 580 | _aFarb, Benson, 1967 - : <<A>> primer on mapping class groups | ||
| 650 | 0 | _aMappings (Mathematics) | |
| 650 | 0 | _aClass groups (Mathematics) | |
| 653 | 4 | _aClass groups (Mathematics) | |
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| 775 | 0 | _aOnline-Ausg.: / Farb, Benson, 1967 - : <<A>> primer on mapping class groups | |
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_iOnline-Ausg. _aFarb, Benson, 1967 - _tA primer on mapping class groups _dPrinceton : Princeton University Press, 2012 _h1 Online-Ressource (xiv, 472 Seiten) _w(DE-627)1658644379 _w(DE-576)447043870 _z9781400839049 |
| 800 | _v49 | ||
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_aPrinceton mathematical series _w(DE-627)13072193X _w(DE-576)010905103 _w(DE-600)971271-9 _x0079-5194 _7ns _v4900 |
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