Polyak-Viro formulas for coefficients of the Conway polynomial

Details Polyak-Viro formulas for coefficients of the Conway polynomial Polyak-Viro formulas for coefficients of the Conway polynomial

2008-10-17

arxiv.org/abs/0810.3146v1

Mathematics

Geometric Topology

9 pages, many figures

Scientific paper

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.

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