Gauge Field Theory and Complex Geometry
From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background
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Editors S. s. ehern B. Eckmann P. de la Harpe H. Hironaka F. Hirzebruch N. Hitchin L. Hörmander M.-A. Knus A. Kupiainen J. Lannes G. Lebeau M. Ratner D. Serre Ya G. Sinai N. J. A. Sloane J. Tits M. Waldschmidt S. Watanabe
Managing Editors M. Berger J. Coates S. R. S. Varadhan
Springer-Verlag Berlin Heidelberg GmbH
Yuri I. Manin
Gauge Field Theory and Complex Geometry Translated from the Russian by N. Koblitz and J. R. King With an Appendix by Sergei Merkulov Second Edition
Springer
Yuri Ivanovich Manin Max-Planck-Institut fUr Mathematik Gottfried-Claren-Stra8e 26 D-53225 Bonn
Tide of the original Russian edition: Kalibrovocbnye polya i komplesksnaya geometriya Publisher Nauka, Moscow 1984
Llbrary of Congress Cataloglng-In-Publleatlon Data Manln, :ID. I. [Kallbrovochnya polfi I kOlplaksnafi gaolatrlfi. Engllsh] Gauga flald thaory and cOlplex gaolatry I Yurl 1. Manln ; translatad frol the Russlan by N. Koblltz and ~.R. Klng. -- 2nd ed. p. CI. -- (Grundlahren der lathalatlschan Hlssanschaften, ISSN 0072-7830 ; 289) Includes blbllographlcal referenees (p. ) and Index. ISBN 978-3-642-08256-6 ISBN 978-3-662-07386-5 (eBook) DOI 10.1007/978-3-662-07386-5
1. Geoletry, Dlfferentlal. fleld theory. 1. Ser Ies. QAS49.M3S13 1997 51S.3·S--dc20
2. Gaolatrlc quantlzatlon.
3. Quantui 96-35228 CTP
First Reprint 2002 Mathematics Subject Classification (1991): 8IEXX, 14-XX, 18XX, 53-XX,35-XX ISSN 0072-7830 ISBN 978-3-642-08256-6 This work is subject to copyright. Ali rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag Berlin Heidelberg GmbH. Violations are liable for prosecution under the German CopyrightLaw.
© Springer-Verlag Berlin Heidelberg 1988, 1997 Originally published by Springer-Verlag Berlin Heidelberg New York in 1997 Softcover reprint ofthe bardcover 2nd edition 1997 SPIN 10868052
44/3111 - 5 4 3 2 1 - Printed on acid-free paper
PREFACE TO THE SECOND EDITION
In the seven years since this book was published in English, the exciting interaction between complex geometry and theoretical physics continued to bring new results and ideas to both domains. For this edition, Prof. S. Merkulov has written an Addendum and compiled a list of additional references. Thanks to him, several dozens of misprints in the first edition were corrected as weIl. I would like to express my thanks to him for this help. Bonn, January 1997
Yuri 1. Manin
So here I am, in the middle way, having had twenty years Twenty years largely wasted, the years of l'entre deux guerres Trying to learn to use words, and every attempt Is a wholly new start, and a different kind of failure, Because one has only learnt to get
