Fibered and primitive/Seifert twisted torus knots
Geometric Topology
2015-05-21 v3
Abstract
The twisted torus knots lie on the standard genus 2 Heegaard surface for , as do the primitive/primitive and primitive/Seifert knots. It is known that primitive/primitive knots are fibered, and that not all primitive/Seifert knots are fibered. Since there is a wealth of primitive/Seifert knots that are twisted torus knots, we consider the twisted torus knots to partially answer the question of which primitive/Seifert knots are fibered. A braid computation shows that a particular family of twisted torus knots is fibered, and that computation is then used to generalize the results of a previous paper by the author.
Keywords
Cite
@article{arxiv.1111.1696,
title = {Fibered and primitive/Seifert twisted torus knots},
author = {Brandy Guntel Doleshal},
journal= {arXiv preprint arXiv:1111.1696},
year = {2015}
}
Comments
13 pages, 6 figures