Moduli Spaces Of Riemann Surfaces
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Moduli Spaces Of Riemann Surfaces
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Author : Benson Farb
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-08-16
Moduli Spaces Of Riemann Surfaces written by Benson Farb and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-16 with Mathematics categories.
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.
Introduction To Moduli Spaces Of Riemann Surfaces And Tropical Curves
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Author : Lizhen Ji
language : en
Publisher:
Release Date : 2017
Introduction To Moduli Spaces Of Riemann Surfaces And Tropical Curves written by Lizhen Ji and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Geometry, Algebraic categories.
Mapping Class Groups And Moduli Spaces Of Riemann Surfaces
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Author : Carl-Friedrich Bödigheimer
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Mapping Class Groups And Moduli Spaces Of Riemann Surfaces written by Carl-Friedrich Bödigheimer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
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.
Geometry Of Riemann Surfaces And Teichm Ller Spaces
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Author : M. Seppälä
language : en
Publisher: Elsevier
Release Date : 2011-08-18
Geometry Of Riemann Surfaces And Teichm Ller Spaces written by M. Seppälä and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.
The moduli problem is to describe the structure of the space of isomorphism classes of Riemann surfaces of a given topological type. This space is known as the moduli space and has been at the center of pure mathematics for more than a hundred years. In spite of its age, this field still attracts a lot of attention, the smooth compact Riemann surfaces being simply complex projective algebraic curves. Therefore the moduli space of compact Riemann surfaces is also the moduli space of complex algebraic curves. This space lies on the intersection of many fields of mathematics and may be studied from many different points of view. The aim of this monograph is to present information about the structure of the moduli space using as concrete and elementary methods as possible. This simple approach leads to a rich theory and opens a new way of treating the moduli problem, putting new life into classical methods that were used in the study of moduli problems in the 1920s.
An Introduction To Riemann Surfaces Algebraic Curves And Moduli Spaces
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Author : Martin Schlichenmaier
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-11
An Introduction To Riemann Surfaces Algebraic Curves And Moduli Spaces written by Martin Schlichenmaier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-11 with Science categories.
This book gives an introduction to modern geometry. Starting from an elementary level, the author develops deep geometrical concepts that play an important role in contemporary theoretical physics, presenting various techniques and viewpoints along the way. This second edition contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.
Moduli Spaces Of Riemann Surfaces
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Author : Matthew Petro
language : en
Publisher:
Release Date : 2008
Moduli Spaces Of Riemann Surfaces written by Matthew Petro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Geometry And Quantization Of Moduli Spaces
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Author : Vladimir Fock
language : en
Publisher: Birkhäuser
Release Date : 2016-12-25
Geometry And Quantization Of Moduli Spaces written by Vladimir Fock and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-25 with Mathematics categories.
This volume is based on four advanced courses held at the Centre de Recerca Matemàtica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces. The lectures focus on the geometry of moduli spaces which are mostly associated to compact Riemann surfaces, and are presented from both classical and quantum perspectives.
Moduli Of Riemann Surfaces Real Algebraic Curves And Their Superanalogs
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Author : S. M. Natanzon
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Moduli Of Riemann Surfaces Real Algebraic Curves And Their Superanalogs written by S. M. Natanzon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
The space of all Riemann surfaces (the so-called moduli space) plays an important role in algebraic geometry and its applications to quantum field theory. The present book is devoted to the study of topological properties of this space and of similar moduli spaces, such as the space of real algebraic curves, the space of mappings, and also superanalogs of all these spaces. The book can be used by researchers and graduate students working in algebraic geometry, topology, and mathematical physics.
An Introduction To Riemann Surfaces Algebraic Curves And Moduli Spaces
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Author : Martin Schlichenmaier
language : en
Publisher: Springer
Release Date : 2014-10-09
An Introduction To Riemann Surfaces Algebraic Curves And Moduli Spaces written by Martin Schlichenmaier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-09 with Mathematics categories.
This lecture is intended as an introduction to the mathematical concepts of algebraic and analytic geometry. It is addressed primarily to theoretical physicists, in particular those working in string theories. The author gives a very clear exposition of the main theorems, introducing the necessary concepts by lucid examples, and shows how to work with the methods of algebraic geometry. As an example he presents the Krichever-Novikov construction of algebras of Virasaro type. The book will be welcomed by many researchers as an overview of an important branch of mathematics, a collection of useful formulae and an excellent guide to the more extensive mathematical literature.
Moduli Spaces And Locally Symmetric Spaces
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Author : Lizhen Ji
language : en
Publisher:
Release Date : 2021-10-30
Moduli Spaces And Locally Symmetric Spaces written by Lizhen Ji and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-30 with Moduli theory categories.
Provides accessible and systematic introductions to moduli spaces of Riemann surfaces, algebraic curves, moduli spaces of vector bundles on Riemann surfaces, moduli spaces of singularities, and compactification of a natural class of locally symmetric spaces.