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arxiv: 0810.3146 · v1 · submitted 2008-10-17 · 🧮 math.GT · math.CO

Polyak-Viro formulas for coefficients of the Conway polynomial

classification 🧮 math.GT math.CO
keywords polynomialconwaycoefficientsdiagramformulaspolyak-virostatearrow
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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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