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A club which holds monthly and yearly meetings in Portugal to discuss topics in quantum field theory.
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TOPOLOGICAL QUANTUM FIELD THEORY CLUB ...A topological quantum field theory (TQFT) is an, almost, metric independent quantum field theory that gives rise to topological invariants of the background manifold
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An Introduction to Topological Field Theory A topological quantum field theory (TQFT) is an, almost, metric independent quantum field theory that gives rise to topological invariants of the background manifold. The best known example of a 3-dimensional TQFT is Chern-Simons-Witten theory, in which the expectation value...An attempt to unify fundamental interactions by assuming that physical spacetimes can be regarded as submanifolds of certain 8-dimensional space. Book in PDF by Matti Pitkänen, Helsinki.
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Topological Geometrodynamics This report is subject to small changes now and then: errors are corrected and new details are added. Just now (13.9. 2004) I am beginning to re-organized TGD based on the progress based on the notion of duality, one of...The objective of the Project are to use topological quantum field theories to explore low-dimensional topological objects. The field theories to be used are combinatorially and algebraically defined, and the emphasis is on numerical computation and detection of counterexamples rather than general structure.
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Quantum Topology Partially supported by the National Science Foundation Project overview People Frank Quinn quinn@math.vt.edu Ivelina Bobtcheva bobcheva@math.vt.edu demeio@popcsi.unian.it Summer research team Jacob Siehler Susan Schmoyer Micah Chrisman Currently inactive. We have discontinued our computational work and are concentrating on abstract results....Research Group on Topological Quantum Field Theories in any dimension and their relation to topological invariants. Particular attention is given to BF theories and knots in any dimension.
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Research Group on Topological Quantum Field Theory and Knots To study topological field theories in any dimension and their relation to topological invariants. Particular attention is given to BF theories. Topological invariants include 3-manifold invariants and invariants of ordinary links and knots and, at the higher dimensional level, the...Includes links to research papers, quotations on the development of the quantum theory, brief notes on the field and related links.
http://homestead.com/qft/
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.
http://arxiv.org/abs/hep-th/0107079
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.
http://arxiv.org/abs/hep-th/9907119
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.
http://arxiv.org/abs/hep-th/9511038
These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories.
http://arxiv.org/abs/hep-th/9407018
A set of introductory notes on Topological Quantum Field Theories
http://arxiv.org/abs/hep-th/9709192
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.
http://arxiv.org/abs/hep-th/9511037