On the Goussarov-Polyak-Viro Finite-Type Invariants and the Virtualization Move
Geometric Topology
2010-01-14 v1
Abstract
In this paper, it is shown that there are no nonconstant Goussarov-Polyak-Viro finite-type invariants that are invariant under the virtualization move. As an immediate corollary, we obtain the theorem which states none of the Birman coefficients of the Jones-Kauffman polynomial are of GPV finite type.
Keywords
Cite
@article{arxiv.1001.2247,
title = {On the Goussarov-Polyak-Viro Finite-Type Invariants and the Virtualization Move},
author = {Micah W. Chrisman},
journal= {arXiv preprint arXiv:1001.2247},
year = {2010}
}