Polyak-viro Formulas for Coefficients of the Conway Polynomial
نویسنده
چکیده
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. Introduction In this paper we are working with the Conway polynomial ∇(L) of an oriented link L defined by the equations
منابع مشابه
Oriented and unoriented Gauss diagram formulas for Vassiliev invariants
There are two types of Gauss diagram formulas for Vassiliev invariants. One type is introduced by M. Polyak and O. Viro together with various notations (PolyakViro type formulas); the other type is our formulas which are derived from the Kontsevich integral in a previous paper. In this paper, we derive Polyak-Viro type formulas from our formulas.
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