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Top 20 Directory:
Top : Science : Physics : Quantum_Mechanics : Quantum_Field_Theory : Topological
See Also:

Sites:
  • 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.
  • 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.
  • Lectures in Topological Quantum Field Theory: A set of introductory notes on Topological Quantum Field Theories
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Topological Quantum Field Theory Club: A club which holds monthly and yearly meetings in Portugal to discuss topics in quantum field theory.
  • 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.


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