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Volumes of hyperbolic double twist knot cone-manifolds

Anh T. Tran

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

https://doi.org/10.1142/S0218216517500687Cited by:2 (Source: Crossref)

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 $C (2 n, 3)$ . We also study the Riley polynomial of a class of one-relator groups which includes two-bridge knot groups.

Keywords:

AMSC: 57M27

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