Geometry and Quantization of Moduli Spaces
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 researc
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Vladimir Fock Andrey Marshakov Florent Schaffhauser Constantin Teleman Richard Wentworth
Geometry and Quantization of Moduli Spaces
Advanced Courses in Mathematics CRM Barcelona Centre de Recerca Matemàtica Managing Editor: Enric Ventura
More information about this series at http://www.springer.com/series/5038
Vladimir Fock • Andrey Marshakov Florent Schaffhauser • Constantin Teleman Richard Wentworth
Geometry and Quantization of Moduli Spaces Editors for this volume: Luis Álvarez-Cónsul, Universidad Autónoma de Madrid Jørgen Ellegaard Andersen, Aarhus University Ignasi Mundet i Riera, Universitat de Barcelona
Vladimir Fock Institut de Recherche Mathématique Avancée Université de Strasbourg Strasbourg, France
Andrey Marshakov Theory Department Lebedev Physics Institute Moscow, Russia
Florent Schaffhauser Departamento de Matemáticas Universidad de Los Andes Bogotá, Colombia
Constantin Teleman Department of Mathematics University of California Berkeley, California, USA
Richard Wentworth Department of Mathematics University of Maryland College Park, Maryland, USA
ISSN 2297-0304 ISSN 2297-0312 (electronic) Advanced Courses in Mathematics - CRM Barcelona ISBN 978-3-319-33577-3 ISBN 978-3-319-33578-0 (eBook) DOI 10.1007/978-3-319-33578-0 Library of Congress Control Number: 2016962053
Mathematics Subject Classification (2010): 14D20, 32G13, 57R56, 14D21, 14D22, 37K30, 53D45 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This book is published under the trade name Birkhäuser, www.birkhauser-science.com The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Foreword This book is based on four advanced courses given during a semester on The Geometry and Quantization of Moduli Spaces, held at the Centre de Recerca Matem`atica (CRM) in Bellaterra, Barcelona, from March to June 2012. Besides their important
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