Affiliation:
1. Sam Houston State University, P. O. Box 2418, Huntsville TX77341-2418, USA
Abstract
The twisted torus knots lie on the standard genus 2 Heegaard surface for S3, 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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
3 articles.
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1. Genus two Goeritz equivalence in S3;Topology and its Applications;2023-02
2. Additional cases of positive twisted torus knots;Journal of Knot Theory and Its Ramifications;2017-10
3. Knot types of twisted torus knots;Journal of Knot Theory and Its Ramifications;2017-10