A Primer on Mapping Class Groups 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Farb, Benson; Margalit, Dan; 作者

译者

2011-9 出版日期

488 页数

$ 84.75 价格

丛书系列

9780691147949 图书编码

A Primer on Mapping Class Groups 在线电子书图书标签: 低维拓扑模空间小径分岔的花园 topology GeoTopo

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A Primer on Mapping Class Groups 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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A Primer on Mapping Class Groups 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

A Primer on Mapping Class Groups 在线电子书图书描述

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 Teichmller 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.

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