Topological

Topological Links

• 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.
  
• 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 meetings to discuss topics in quantum field theory.
  
• 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.
  
• Conference on Topological Field Theory Scheduled for July 2000 at Centre de Recerca Matemàtica (CRM)
  
• 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
  
• 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.
  
• Topological Geometrodynamics
  
• 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
  
• 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.