Polyak-Viro formulas for coefficients of the Conway polynomial
  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. 
Sergei Chmutov, Michael Cap Khoury, Alfred Rossi