Non-minimal bridge positions of torus knots are stabilized
Geometric Topology
2015-05-19 v1
Abstract
We show that any non-minimal bridge decomposition of a torus knot is stabilized and that -bridge decompositions of a torus knot are unique for any integer . This implies that a knot in a bridge position is a torus knot if and only if there exists a torus containing the knot such that it intersects the bridge sphere in two essential loops.
Cite
@article{arxiv.1006.1026,
title = {Non-minimal bridge positions of torus knots are stabilized},
author = {Makoto Ozawa},
journal= {arXiv preprint arXiv:1006.1026},
year = {2015}
}
Comments
11 pages, 4 figures