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Gauge Theory and Symplectic Geometry

  • Book
  • © 1997

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Part of the book series: Nato Science Series C: (ASIC, volume 488)

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Table of contents (6 chapters)

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About this book

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.

Editors and Affiliations

  • Department of Mathematics and Statistics, McGill University, Montréal, Canada

    Jacques Hurtubise

  • Département de mathématiques et d’informatique, Université de Québec à Montréal, Montréal, Canada

    François Lalonde

  • Département de mathématiques et statistique, Université de Montréal, Montréal, Canada

    Gert Sabidussi

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