Duality and Topological Quantum Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, latex. Invited talk at the 'Workshop on Frontiers of Field Theory, Quantum Gravity and String Theory' held at Puri,

Scientific paper

We present a summary of the applications of duality to Donaldson-Witten
theory and its generalizations. Special emphasis is made on the computation of
Donaldson invariants in terms of Seiberg-Witten invariants using recent results
in N=2 supersymmetric gauge theory. A brief account on the invariants obtained
in the theory of non-abelian monopoles is also presented.

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