The Kontsevich integral and algebraic structures on the space of diagrams
Geometric Topology
2007-05-23 v3
Abstract
This paper is part expository and part presentation of calculational results. The target space of the Kontsevich integral for knots is a space of diagrams; this space has various algebraic structures which are described here. These are utilized with Le's theorem on the behaviour of the Kontsevich integral under cabling and with the Melvin-Morton Theorem, to obtain, in the Kontsevich integral for torus knots, both an explicit expression up to degree five and the general coefficients of the wheel diagrams.
Keywords
Cite
@article{arxiv.math/9909151,
title = {The Kontsevich integral and algebraic structures on the space of diagrams},
author = {Simon Willerton},
journal= {arXiv preprint arXiv:math/9909151},
year = {2007}
}
Comments
17 pages, many figures, to appear in the proceedings of Knots in Hellas 1998, cross-listed to Quantum Algebra. Feb 22nd 2000: sign error in definition of STU relation corrected