ISBN:978-7-04-029842-0
出版时间:2010-06-10
语种:英文
开本:16
页数:299
Transformation groups and moduli spaces
作 者:季理真 丘成桐
定价:  69.00元 购买
  • 内容简介

    Transformation groups have played a fundamental role in many areas of mathematics such as differential geometry, geometric topology, algebraic topology, algebraic geometry, number theory. Ore of the basic reasons for their importance is that symmetries are described by groups (or rather group actions). Quotients of smooth manifolds by group actions are usually not smooth manifolds. On the other hand, if the actions of the groups are proper, then the quotients are orbifolds. An important example is given by the action of the mapping class groups on the Teichmuller spaces, and the quotients give the moduli spaces of Riemann surfaces (or algebraic curves) and are orbifolds.

    This book consists of expanded lecture' notes of two summer schools Transformation Groups and Orbifolds and Geometry of Teichmuller Spaces and Moduli Spaces of Curves in 2008 and will be a valuable source for people to learn transformation groups, orbifolds, Teichmuller spaces, mapping class groups, moduli soaces of curves and related topics.

关键词 数学类
目录
内封   
PDF (1 MB) (
版权   
PDF (81 KB) (
目录   
PDF (67 KB) (
Front Matter   
PDF (127 KB) (
Lectures on Orbifolds and Group Cohomology Alejandro Adem and Michele Klaus   
摘要   PDF (290 KB) ( ) P. 1-20
Lectures on the Mapping Class Group of a Surface Thomas Kwok-Keung Au, Feng Luo and Tian Yang   
摘要   PDF (871 KB) ( ) P. 21-62
Lectures on Orbifolds and Re°ection Groups Michael WDavis   
摘要   PDF (820 KB) ( ) P. 63-94
Lectures on Moduli Spaces of Elliptic Curves Richard Hain   
摘要   PDF (586 KB) ( ) P. 95-166
An Invitation to the Local Structures of Moduli of Genus One Stable Maps Yi Hu   
摘要   PDF (342 KB) ( ) P. 167-194
Lectures on the ELSV Formula Chiu-Chu Melissa Liu   
摘要   PDF (278 KB) ( ) P. 195-216
Formulae of One-partition and Two-partition Hodge Integrals Chiu-Chu Melissa Liu   
摘要   PDF (284 KB) ( ) P. 217-238
Lectures on Elements of Transformation Groups and Orbifolds Zhi LÄu   
摘要   PDF (430 KB) ( ) P. 239-276
The Action of the Mapping Class Group on Representation Varieties Richard AWentworth   
摘要   PDF (293 KB) ( ) P. 277-299
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