Recognizing trace graphs of closed braids
Geometric Topology
2008-08-21 v1 Algebraic Topology
Abstract
To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way that closed braids are isotopic if and only if their trace graphs can be related by trihedral and tetraherdal moves. For closed braids with a fixed number of strands, we recognize trace graphs up to isotopy and trihedral moves in polynomial time with respect to the braid length.
Keywords
Cite
@article{arxiv.0808.2713,
title = {Recognizing trace graphs of closed braids},
author = {T. Fiedler and V. Kurlin},
journal= {arXiv preprint arXiv:0808.2713},
year = {2008}
}
Comments
20 pages, 15 figures