Finite-type 1-cocycles of knots given by Polyak-Viro formulas
Geometric Topology
2015-09-16 v1
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_3^1.
Keywords
Cite
@article{arxiv.1403.3418,
title = {Finite-type 1-cocycles of knots given by Polyak-Viro formulas},
author = {Arnaud Mortier},
journal= {arXiv preprint arXiv:1403.3418},
year = {2015}
}
Comments
24 pages, 23 images