Gauge Theory and Symplectic Geometry 1997 Edition Contributor(s): Hurtubise, Jacques (Editor), Sabidussi, Gert (Other), LaLonde, François (Editor) |
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ISBN: 0792345002 ISBN-13: 9780792345008 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: March 1997 |
Additional Information |
BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Mathematical Analysis - Mathematics | Differential Equations - General |
Dewey: 516.362 |
LCCN: 97008141 |
Series: NATO Science Series C: |
Physical Information: 0.72" H x 6.42" W x 9.54" (1.18 lbs) 212 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |