Moduli Spaces of Riemann Surfaces
( IAS/Park City Mathematics Series )
Publication series ：IAS/Park City Mathematics Series
Author： Benson Farb;Richard Hain;Eduard Looijenga
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470409944
P-ISBN(Paperback): 9780821898871
Subject： O174.51 unicomplex function theory
Keyword： 暂无分类
Language： ENG
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Moduli Spaces of Riemann Surfaces
Description
Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups. The courses consist of a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The book should be a valuable resource for graduate students and researchers interested in the topology, geometry and dynamics of moduli spaces of Riemann surfaces and related topics.
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