2008/10/17 by Sergei Chmutov, Chmutov, Sergei, Michael Cap Khoury +3
Mathematics · #57M25 #57M27 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.CO #math.GT #msc:57M25 #msc:57M27
paper · pdf · doi:10.48550/arxiv.0810.3146
9 pages, many figures
arxiv created 2008/10/17 · openalex publication_date 2008/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.