Gromov hyperbolicity and a variation of the Gordian complex
Geometric Topology
2010-02-22 v2
Abstract
We introduce new simplicial complexes by using various invariants and local moves for knots, which give generalizations of the Gordian complex defined by Hirasawa and Uchida. In particular, we focus on the simplicial complex defined by using the Alexander-Conway polynomial and the Delta-move, and show that the simplicial complex is Gromov hyperbolic and quasi-isometric to the real line.
Keywords
Cite
@article{arxiv.0912.0990,
title = {Gromov hyperbolicity and a variation of the Gordian complex},
author = {Kazuhiro Ichihara and In Dae Jong},
journal= {arXiv preprint arXiv:0912.0990},
year = {2010}
}
Comments
9 pages, 6 figures