Bounding canonical genus bounds volume
Geometric Topology
2007-05-23 v1
Abstract
A Seifert surface for a knot K is called canonical if it can be built by applying Seifert's algorithm to some projection of K. The canonical genus of K is the smallest genus of a surface so obtained. In this paper we show that there is a bound on the volume of a hyperbolic knot which admits a canonical surface of genus g. The bound can, in fact, be chosen to be linear in g.
Cite
@article{arxiv.math/9809142,
title = {Bounding canonical genus bounds volume},
author = {Mark Brittenham},
journal= {arXiv preprint arXiv:math/9809142},
year = {2007}
}
Comments
9 pages, including 8 figures