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Finite-type 1-cocycles of knots given by Polyak-Viro formulas

Published 13 Mar 2014 in math.GT | (1403.3418v1)

Abstract: We present a new method to produce simple formulas for 1-cocycles of knots over the integers, inspired by Polyak-Viro's formulas for finite-type knot invariants. We conjecture that these formulas always represent finite-type cohomology classes in the sense of Vassiliev. An example of degree 3 is studied, and shown to coincide over Z/2 with the Teiblum-Turchin cocycle v_31.

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Authors (1)

  1. Arnaud Mortier 

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