Topological Quantum Field Theory: A Progress Report

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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latex, 17 pages, talk given at the IV Fall Workshop on Differential Geometry and its Applications, 1995

Scientific paper

A brief introduction to Topological Quantum Field Theory as well as a description of recent progress made in the field is presented. I concentrate mainly on the connection between Chern-Simons gauge theory and Vassiliev invariants, and Donaldson theory and its generalizations and Seiberg-Witten invariants. Emphasis is made on the usefulness of these relations to obtain explicit expressions for topological invariants, and on the universal structure underlying both systems.

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