English

Functional Integration and the Kontsevich Integral

Geometric Topology 2007-05-23 v2 Quantum Algebra

Abstract

This paper is an exposition of heuristics related to Witten's functional integral, relating it to Vassiliev invariants and to the Kontsevich integrals that can be used to produce Vassiliev invariants of knots and links.In particular, we give a simplified version of the appearance of the Kontsevich integrals in the perturbation expansion of the functional integral.

Keywords

Cite

@article{arxiv.math/9811137,
  title  = {Functional Integration and the Kontsevich Integral},
  author = {Louis H. Kauffman},
  journal= {arXiv preprint arXiv:math/9811137},
  year   = {2007}
}

Comments

34 pages, 14 figures, LaTeX document. Postscript file also available from http://math.uic.edu/~kauffman