Osaka Journal of Mathematics

Commensurability of link complements

Han Yoshida

Full-text: Open access

Abstract

In 2013, Chesebro and DeBlois constructed a certain family of hyperbolic links whose complements have the same volume, trace field, Bloch invariant, and cusp parameters up to $PGL(2,\mathbb Q)$. In this paper, we show that these link complements are incommensurable to each other. We use horoball packing to prove this.

Article information

Source
Osaka J. Math. Volume 54, Number 4 (2017), 635-645.

Dates
First available in Project Euclid: 20 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1508486566

Mathematical Reviews number (MathSciNet)
MR3715352

Subjects
Primary: 57M50: Geometric structures on low-dimensional manifolds
Secondary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}

Citation

Yoshida, Han. Commensurability of link complements. Osaka J. Math. 54 (2017), no. 4, 635--645.https://projecteuclid.org/euclid.ojm/1508486566


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References

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