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)
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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 . .