Gauge Theory and Symplectic Geometry
By: edited by Jacques Hurtubise, François Lalonde, Gert Sabidussi
Contributors: Lalonde, François; Sabidussi, Gert
Series: NATO ASI Series, Series C: Mathematical and Physical Sciences -- 488; NATO ASI Series, Series C: Mathematical and Physical Sciences -- 488
Publisher: Springer Netherlands
Published: 1997
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 212
ISBN-13: 9789048148301; 9789401716673
Subjects: Global differential geometry; Mathematics; Differential equations, partial; Algebraic topology; Global analysis
Other titles: Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montreal, Canada, July 3-14, 1995
Description: 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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