Duality and Topological Quantum Field Theory

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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.
18 pages, latex. Invited talk at the 'Workshop on Frontiers of Field Theory, Quantum Gravity and String Theory' held at Puri, India, on December 12-21, 1996

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