About this product

Product Identifiers

PublisherOxford University Press, Incorporated

ISBN-100691147949

ISBN-139780691147949

eBay Product ID (ePID)84572930

Product Key Features

Number of Pages488 Pages

LanguageEnglish

Publication NamePrimer on Mapping Class Groups

Publication Year2011

SubjectGeometry / General, General, Geometry / Algebraic

TypeTextbook

Subject AreaMathematics

AuthorDan Margalit, Benson Farb

SeriesPrinceton Mathematical Ser.

FormatHardcover

Dimensions

Item Height1.5 in

Item Weight29 Oz

Item Length8.5 in

Item Width6.5 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2011-008491

TitleLeadingA

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, "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, 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., "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 Daz, lvaro Martnez, European Mathematical Society, "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, 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., "[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 D'az, Álvaro Mart'nez, European Mathematical Society, "[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 Daz, lvaro Martnez, European Mathematical Society, "[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 D'az, lvaro Mart'nez, European Mathematical Society, [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, "[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, lvaro Martínez, European Mathematical Society, "[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, lvaro Martínez, European Mathematical Society, "[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

Series Volume Number49

IllustratedYes

SynopsisThe study of the mapping class group Mod(S) is a classical topic that experiences a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem., 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., 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., 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 Teichm ller 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.

LC Classification NumberQA247