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Topological Quantum Field Theory and Four Manifolds, Labastida, Springer 2005.pdf

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Topological Quantum Field Theory and Four Manifolds, Labastida, Springer 2005.pdf

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文档介绍:TOPOLOGICAL QUANTUM FIELD THEORY AND FOUR MANIFOLDS
MATHEMATICAL PHYSICS STUDIES
Editorial Board:
Maxim Kontsevich, IHES, Bures-sur-Yvette, France
Massimo Porrati, New York University, New York, .
Vladimir Matveev, Université Bourgogne, Dijon, France
Daniel Sternheimer, Université Bourgogne, Dijon, France
VOLUME 25
Topological Quantum Field
Theory and Four Manifolds
by
JOSE LABASTIDA
and
MARCOS MARINO
A . Catalogue record for this book is available from the Library of Congress.
ISBN 1-4020-3058-4 (HB)
ISBN 1-4020-3177-7 (e-book)
Published by Springer,
. Box 17, 3300 AA Dordrecht, herlands.
Sold and distributed in North, Central and South America
by Springer,
101 Philip Drive, Norwell, MA 02061, .
In all other countries, sold and distributed
by Springer,
. Box 322, 3300 AH Dordrecht, herlands.
Printed on acid-free paper
All Rights Reserved
© 2005 Springer
No part of this work may be reproduced, stored in a retrieval system, or transmitted
in any form or by any means, electronic, mechanical, photocopying, microfilming, recording
or otherwise, without written permission from the Publisher, with the exception
of any material supplied specifically for the purpose of being entered
and executed on puter system, for exclusive use by the purchaser of the work.
Printed in herlands.
Table of Contents
Preface ............................vii
1. Topological Aspects of Four-Manifolds ............. 1
. Homology and cohomology . . . ............. 1
. The intersection form .................. 2
. Self-dual and anti-self-dual forms . ............. 4
. Characteristic classes ................... 5
. Examples of four-manifolds. Complex surfaces . ....... 6
. Spin and Spinc-structures on four-manifolds ......... 9
2. The Theory of Donaldson Invariants . . ............12
. Yang–Mills theory on a four-manifold ...........12
. SU(2) and SO(3) bundles .................14
. ASD connections . .