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Mapping Class Groups and Moduli Spaces of Riemann Surfaces

1993 Mathematics
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Release : 1993
Genre : Mathematics
Kind : eBook
Book Rating : 675/5 ( reviews)

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Book Synopsis Mapping Class Groups and Moduli Spaces of Riemann Surfaces by : Carl-Friedrich Bödigheimer

Download or read book Mapping Class Groups and Moduli Spaces of Riemann Surfaces written by Carl-Friedrich Bödigheimer. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt: The study of mapping class groups and moduli spaces of compact Riemann surfaces is currently a central topic in topology, algebraic geometry, and conformal field theory. This book contains proceedings from two workshops held in the summer of 1991, one at the University of G\"ottingen and the other at the University of Washington at Seattle. The papers gathered here represent diverse approaches and contain several important new results. With both research and survey articles, the book appeals to mathematicians and physicists.

Moduli Spaces of Riemann Surfaces

2013-08-16 Mathematics
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Release : 2013-08-16
Genre : Mathematics
Kind : eBook
Book Rating : 876/5 ( reviews)

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Book Synopsis Moduli Spaces of Riemann Surfaces by : Benson Farb

Download or read book Moduli Spaces of Riemann Surfaces written by Benson Farb. This book was released on 2013-08-16. Available in PDF, EPUB and Kindle. Book excerpt: 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. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

Mapping Class Groups and Moduli Spaces of Riemann Surfaces

1993
Download Mapping Class Groups and Moduli Spaces of Riemann Surfaces PDF Online Free

Author :
Release : 1993
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Mapping Class Groups and Moduli Spaces of Riemann Surfaces by :

Download or read book Mapping Class Groups and Moduli Spaces of Riemann Surfaces written by . This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:

Moduli Spaces of Curves, Mapping Class Groups and Field Theory

2003 Mathematics
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Author :
Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 674/5 ( reviews)

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Book Synopsis Moduli Spaces of Curves, Mapping Class Groups and Field Theory by : Xavier Buff

Download or read book Moduli Spaces of Curves, Mapping Class Groups and Field Theory written by Xavier Buff. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: It concludes with a study of the canonical Galois action on the fundamental groupoids, computed using Grothendick-Teichmuller theory. Finally, Chapter 3 studies strict ribbon categories, which are closely related to braided tensor categories: here they are used to construct invariants of 3-manifolds which in turn give rise to quantum field theories."--BOOK JACKET.

Problems on Mapping Class Groups and Related Topics

2006-09-12 Mathematics
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Release : 2006-09-12
Genre : Mathematics
Kind : eBook
Book Rating : 385/5 ( reviews)

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Book Synopsis Problems on Mapping Class Groups and Related Topics by : Benson Farb

Download or read book Problems on Mapping Class Groups and Related Topics written by Benson Farb. This book was released on 2006-09-12. Available in PDF, EPUB and Kindle. Book excerpt: The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.

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