Volumes of hyperbolic double twist knot cone-manifolds-Reference-Cited by-同舟云学术

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Volumes of hyperbolic double twist knot cone-manifolds

Published:2017-10 Issue:11 Volume:26 Page:1750068
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Tran Anh T.¹

Affiliation:

1. Department of Mathematical Sciences, The University of Texas at Dallas, Richardson, TX 75080, USA

Abstract

We give explicit formulas for the volumes of hyperbolic cone-manifolds of double twist knots, a class of two-bridge knots which includes twist knots and two-bridge knots with Conway notation [Formula: see text]. We also study the Riley polynomial of a class of one-relator groups which includes two-bridge knot groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216517500687

Reference20 articles.

1. 𝑆𝐿(2) Representations of Finitely Presented Groups

2. de Gruyter Studies in Mathematics;Burde G.,2003

3. Varieties of Group Representations and Splittings of 3-Manifolds

4. The volume of hyperbolic cone-manifolds of the knot with Conway’s notation C(2n,3)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Explicit formulae for Chern-Simons invariants of the hyperbolic J(2n,-2m) knot orbifolds;Proceedings of the International Geometry Center;2023-03-02

2. The A-polynomial 2-tuple of twisted Whitehead links;International Journal of Mathematics;2018-02

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