Exchange moves and Fiedler polynomial

Details Exchange moves and Fiedler polynomial Exchange moves and Fiedler polynomial

2007-09-27

arxiv.org/abs/0709.4465v1

Mathematics

Geometric Topology

Scientific paper

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.

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