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2018 Every lens space contains a genus one homologically fibered knot
Yuta Nozaki
Illinois J. Math. 62(1-4): 99-111 (2018). DOI: 10.1215/ijm/1552442658

Abstract

We prove that every lens space contains a genus one homologically fibered knot, which is contrast to the fact that some lens spaces contain no genus one fibered knot. In the proof, the Chebotarev density theorem and binary quadratic forms in number theory play a key role. We also discuss the Alexander polynomial of homologically fibered knots.

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Yuta Nozaki. "Every lens space contains a genus one homologically fibered knot." Illinois J. Math. 62 (1-4) 99 - 111, 2018. https://doi.org/10.1215/ijm/1552442658

Information

Received: 17 October 2017; Revised: 12 September 2018; Published: 2018
First available in Project Euclid: 13 March 2019

zbMATH: 07036782
MathSciNet: MR3922412
Digital Object Identifier: 10.1215/ijm/1552442658

Subjects:
Primary: 57M27
Secondary: 11R45

Rights: Copyright © 2018 University of Illinois at Urbana-Champaign

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Vol.62 • No. 1-4 • 2018
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