Topological Quantum Field Theory: A Progress Report
High Energy Physics - Theory
2008-02-03 v1 alg-geom
Algebraic Geometry
Quantum Algebra
q-alg
Abstract
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.
Cite
@article{arxiv.hep-th/9511037,
title = {Topological Quantum Field Theory: A Progress Report},
author = {J. M. F. Labastida},
journal= {arXiv preprint arXiv:hep-th/9511037},
year = {2008}
}
Comments
latex, 17 pages, talk given at the IV Fall Workshop on Differential Geometry and its Applications, 1995