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Topological Quantum Field Theory, a Progress Report

http://arxiv.org/abs/hep-th/9511037

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.

Submitted in section: Physics: Quantum Mechanics: Quantum Field Theory: Topological: Topological Quantum Field Theory, a Progress Report

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