A Primer on Mapping Class Groups (Hardback)

Benson Farb, Dan Margalit

Edité par Princeton University Press, 2011
ISBN 10: 0691147949 / ISBN 13: 9780691147949
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Language: English . Brand New Book. 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. A Primer on Mapping Class Groups 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 Teichmuller 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. N° de réf. du libraire

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Synopsis :

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.



A Primer on Mapping Class Groups 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.


Critique: "It is clear that a lot of care has been taken in the production of this book, something that indicates the authors' love for the subject. This book should now become the standard text for the subject." --Stephen P Humphries, Mathematical Reviews

"[T]his is a very pleasant and appealing book and it is an excellent reference for any reader willing to learn about this fascinating part of mathematics." --Raquel Díaz, Álvaro Martínez, European Mathematical Society

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Détails bibliographiques

Titre : A Primer on Mapping Class Groups (Hardback)
Éditeur : Princeton University Press
Date d'édition : 2011
Reliure : Hardback
Etat du livre : New

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Benson Farb
Edité par Princeton University Press (2011)
ISBN 10 : 0691147949 ISBN 13 : 9780691147949
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Description du livre Princeton University Press, 2011. HRD. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire WP-9780691147949

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Benson Farb, Dan Margalit
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Description du livre Princeton University Press, United States, 2011. Hardback. État : New. 234 x 170 mm. Language: English . Brand New Book. 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. A Primer on Mapping Class Groups 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 Teichmuller 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. N° de réf. du libraire AAH9780691147949

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Benson Farb, Dan Margalit
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Description du livre Princeton University Press, United States, 2011. Hardback. État : New. 234 x 170 mm. Language: English . Brand New Book. 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. A Primer on Mapping Class Groups 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 Teichmuller 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. N° de réf. du libraire AAH9780691147949

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Description du livre 2011. Hardback. État : NEW. 9780691147949 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. N° de réf. du libraire HTANDREE01146706

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Description du livre 2011. Hardcover. État : New. 152mm x 38mm x 239mm. Hardcover. 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 .Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 512 pages. 0.839. N° de réf. du libraire 9780691147949

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Description du livre 2011. Hardcover. État : New. 152mm x 38mm x 239mm. Hardcover. 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.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 512 pages. 0.839. N° de réf. du libraire 9780691147949

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