Gauge Theory and Symplectic Geometry - Nato Science Series C Softcover Reprint of the Original 1st Ed. 1997 edition

Marc Notes: Originally published: 1997.; Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. This text, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory. Table of Contents: Preface. Participants. Contributors. Lectures on Gauge Theory and Integrable Systems; M. Audin. Symplectic Geometry of Plurisubharmonic Functions; Y. Eliashberg. Frobenius Manifolds; N. Hitchin. Moduli Spaces and Particle Spaces; J. Hurtubise. J-Holomorphic Curves and Symplectic Invariants; F. Lalonde. Lectures on Gromov Invariants for Symplectic 4-Manifolds; D. McDuff. Index. Publisher Marketing: 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.