Exchange moves and Fiedler polynomial
Geometric Topology
2007-09-28 v1
Abstract
In order to obtain a Markov theorem without stabilization, Birman and Menasco introduced the notion of exchange related braids. In this paper I study the way the Fiedler polynomial distinguishes conjugacy classes of some particular braided knots. I introduce the Kauffman bracket in the solid torus. Its Taylor expansion give finite type invariants similar to the Fiedler polynomial. I investigate how these invariants distinguish exchange related braids.
Keywords
Cite
@article{arxiv.0709.4465,
title = {Exchange moves and Fiedler polynomial},
author = {Radu Popescu},
journal= {arXiv preprint arXiv:0709.4465},
year = {2007}
}