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Home / Science / Physics / Quantum Mechanics / Quantum Field Theory / Topological
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Web Sites
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- Ahmed, Diaa A: Quantum Field Theories: Quantum Topology - Includes links to research papers, quotations on the development of the quantum theory, brief notes on the field and related links.
homestead.com/qft
- An Introduction to Topological Quantum Field Theories - A topological quantum field theory (TQFT) is an, almost, metric independent quantum field theory that gives rise to topological invariants of the background manifold
www.math.lsa.umich.edu/~ruthjl/papers/itft.html
- Geometry of 2D Topological Field Theory - These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories.
xxx.lanl.gov/abs/hep-th/9407018
- Lectures in Topological Quantum Field Theory - A set of introductory notes on Topological Quantum Field Theories
xxx.lanl.gov/abs/hep-th/9709192
- Math and Physics - 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.
xxx.lanl.gov/abs/hep-th/0107079
- New Results in Topological Field Theory and Abelian Gauge Theory - 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.
xxx.lanl.gov/abs/hep-th/9511038
- Quantum Topology Project - 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.
www.math.vt.edu/quantum_topology
- Research Group on Topological Quantum Field Theory and Knots - 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.
wwwteor.mi.infn.it/users/cotta/tqft.html
- Topological Geometrodynamics - 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.
www.physics.helsinki.fi/~matpitka/tgd.html
- Topological Quantum Field Theories - 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.
xxx.lanl.gov/abs/hep-th/9907119
- Topological Quantum Field Theory Club - A club which holds monthly and yearly meetings in Portugal to discuss topics in quantum field theory.
www.math.ist.utl.pt/~rpicken/tqft
- Topological Quantum Field Theory, a Progress Report - 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.
xxx.lanl.gov/abs/hep-th/9511037
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