Gauge Theory and Symplectic Geometry / Edition 1

by Jacques Hurtubise, Gert Sabidussi, François Lalonde

Overview

Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994.
Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.

Product Details

ISBN-13:	9780792345008
Publisher:	Springer Netherlands
Publication date:	03/31/1997
Series:	Nato Science Series C: , #488
Edition description:	1997
Pages:	212
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Lectures on gauge theory and integrable systems.- Symplectic geometry of plurisubharmonic functions.- Frobenius manifolds.- Moduli spaces and particle spaces.- J-holomorphic curves and symplectic invariants.- Lectures on Gromov invariants for symplectic 4-manifolds.

Editorial Reviews

The proceedings of the July 1995 seminar linking common areas of research in gauge-theoretical four-dimensional topology and symplectic topology, for example, similarities in variational content to the equations considered, and the behavior of the action functional which, in both cases, are quite similar. The six lectures address topics in integrable systems and moduli spaces, pseudoconvexity, Frobenius manifolds, stability theorems, Morse-Floer theory, pseudo-holomorphic curves and applications, Gromov invariants, Seiber-Witten theory, and the theory of generating functions. Annotation c. by Book News, Inc., Portland, Or.

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