English

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 S3S^3, 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

R2 v1 2026-06-21T19:32:15.294Z