English

Polyak-Viro formulas for coefficients of the Conway polynomial

Geometric Topology 2008-10-20 v1 Combinatorics

Abstract

We describe the Polyak-Viro arrow diagram formulas for the coefficients of the Conway polynomial. As a consequence, we obtain the Conway polynomial as a state sum over some subsets of the crossings of the knot diagram. It turns out to be a simplification of a special case of Jaeger's state model for the HOMFLY polynomial.

Keywords

Cite

@article{arxiv.0810.3146,
  title  = {Polyak-Viro formulas for coefficients of the Conway polynomial},
  author = {Sergei Chmutov and Michael Cap Khoury and Alfred Rossi},
  journal= {arXiv preprint arXiv:0810.3146},
  year   = {2008}
}

Comments

9 pages, many figures