Moduli spaces of real projective structures on surfaces

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Moduli spaces of real projective structures o ...
Alex Casella
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Last edited by MARC Bot
December 9, 2022 | History

Moduli spaces of real projective structures on surfaces

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"This book is an excellent first encounter with the burgeoning field of real projective manifolds. It gives a comprehensive introduction to the theory of real projective structures on surfaces and their moduli spaces. A central theme is an attractive parameterisation of moduli space discovered by Fock and Goncharov that allows the explicit description or analysis of many key features. These include a natural Poisson structure, the effect of projective duality, holonomy representations and the geometry of ends, to name but a few. This book is written with two kinds of readers in mind: those who would like to learn about real projective surfaces or manifolds, and those who have a passing knowledge thereof but are interested in the geometric underpinnings of Fock and Goncharov's parameterisation of moduli space of certain real projective structures. The material is accessible to any mathematician interested in these topics. It is presented in a self-contained manner with minimal prerequisites. Applications of Fock and Goncharov's parameterisation of moduli space presented in this book include new proofs of results by Teichm|ller (1939) concerning hyperbolic structures, by Goldman (1990) concerning closed surfaces, and by Marquis (2010) concerning structures of finite area."--Publisher

Publish Date
Language
English
Pages
122

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Edition Availability
Cover of: Moduli spaces of real projective structures on surfaces
Moduli spaces of real projective structures on surfaces
2020, The Mathematical Society of Japan
in English

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Book Details


Table of Contents

Overview
Projective structures on surfaces
Ratios and configurations of flags
The parametrisation of the moduli spaces
Properties of the parametrisation
Applications of the parametrisation.

Edition Notes

"Much of this material is based on a seminar series at the University of Sydney."--Preface

Includes bibliographical references and index.

Published in
Tokyo
Series
MSJ memoirs -- volume 38, MSJ memoirs -- v. 38.

Classifications

Library of Congress
QA612.14 C37 2021

The Physical Object

Pagination
122 pages
Number of pages
122

ID Numbers

Open Library
OL43511300M
ISBN 10
4864970963
ISBN 13
9784864970969
OCLC/WorldCat
1157890157

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