Gauge Theory and Symplectic Geometry Proceedings of the NATO Advanced Study Institute and Seminaire de Mathematiques Superieures, Montreal, Quebec, Canada

Name: Gauge Theory and Symplectic Geometry
Author: Jacques Hurtubise

Auteur: Jacques Hurtubise

Taal: Engels

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Auteur: Jacques Hurtubise Charles J. Daly

Uitgever: Springer

Co-auteur: North Atlantic Treaty Organization

Engels
Hardcover
9780792345008
Druk: 1997
maart 1997
212 pagina's

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Samenvatting

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.

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