Topological

• Science: Math: Topology  (233)

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.

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, 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.

Topological Quantum Field Theory Club - A club which holds monthly and yearly meetings in Portugal to discuss topics in quantum field theory.