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.
General
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