Gauge Theory and Symplectic Geometry

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.

List 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.

Summary

Proceedings of the NATO Advanced Study Institute and Seminaire de mathematiques superieures, Montreal, Canada, July 3-14, 1995

Product details

• Assisted by: Jacques Hurtubise (Editor), François Lalonde (Editor), Gert Sabidussi (Editor)
• Publisher: Springer Netherlands
• Languages: English
• Product format: Hardback
• Released: 26.06.2009
• EAN: 9780792345008
• ISBN: 978-0-7923-4500-8
• No. of pages: 212
• Dimensions: 155 mm x 235 mm x 17 mm
• Weight: 520 g
• Illustrations: XVII, 212 p.
• Series: Nato Science Series C: NATO Science Series C: (closed), Volume 488; Nato Science Series C:
• Subject: Natural sciences, medicine, IT, technology > Mathematics