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A Primer on Mapping Class Groups (PMS-49) /

"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 tim...

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Detalles Bibliográficos
Autor principal: Farb, Benson
Otros Autores: Margalit, Dan, 1976-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2012.
Colección:Book collections on Project MUSE.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Farb, Benson. 
245 1 2 |a A Primer on Mapping Class Groups (PMS-49) /   |c Benson Farb and Dan Margalit. 
264 1 |a Princeton :  |b Princeton University Press,  |c 2012. 
264 3 |a Baltimore, Md. :  |b Project MUSE,   |c 0000 
264 4 |c ©2012. 
300 |a 1 online resource:   |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 0 |a Princeton mathematical series ;  |v 49 
505 0 |a pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory. 
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 Teichmüller 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 
546 |a In English. 
588 |a Description based on print version record. 
650 7 |a Mappings (Mathematics)  |2 fast  |0 (OCoLC)fst01008724 
650 7 |a Class groups (Mathematics)  |2 fast  |0 (OCoLC)fst00863430 
650 7 |a MATHEMATICS  |x Geometry  |x General.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Number Theory.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Geometry  |x Algebraic.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Advanced.  |2 bisacsh 
650 6 |a Groupes de classes (Mathematiques) 
650 6 |a Applications (Mathematiques) 
650 0 |a Class groups (Mathematics) 
650 0 |a Mappings (Mathematics) 
655 7 |a Electronic books.   |2 local 
700 1 |a Margalit, Dan,  |d 1976- 
710 2 |a Project Muse.  |e distributor 
830 0 |a Book collections on Project MUSE. 
856 4 0 |z Texto completo  |u https://projectmuse.uam.elogim.com/book/41990/ 
945 |a Project MUSE - Custom Collection