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New Results in Topological Field Theory and Abelian Gauge Theory - http://arxiv.org/abs/hep-th/9511038
These are the lecture notes of a set of lectures delivered at the 1995 Trieste summer school in June. Much of the necessary background material is given, including a crash course in topological field theory, cohomology of manifolds, topological gauge theory and the rudiments of four manifold theory. |
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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. |
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Math and Physics - http://arxiv.org/abs/hep-th/0107079
A brief review on some of the recent developments in topological quantum field theory. These include topological string theory, topological Yang-Mills theory and Chern-Simons gauge theory. |
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Lectures in Topological Quantum Field Theory - http://arxiv.org/abs/hep-th/9709192
A set of introductory notes on Topological Quantum Field Theories |
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Topological Quantum Field Theories - http://arxiv.org/abs/hep-th/9907119
Topological quantum field theories can be used as a powerful tool to probe geometry and topology in low dimensions. Chern-Simons theories, which are examples of such field theories, provide a field theoretic framework for the study of knots and links in three dimensions. |