Crowell's state space is connected
Geometric Topology
2012-10-16 v1 Combinatorics
Abstract
We study the set of Crowell states for alternating knot projections and show that for prime alternating knots the space of states for a reduced projection is connected, a result similar to that for Kauffman states. As an application we give a new proof of a result of Ozsvath and Szabo characterizing (2,2n+1) torus knots among alternating knots.
Keywords
Cite
@article{arxiv.1210.3798,
title = {Crowell's state space is connected},
author = {Daniel Selahi Durusoy},
journal= {arXiv preprint arXiv:1210.3798},
year = {2012}
}
Comments
9 pages, 6 figures