Volumes of double twist knot cone-manifolds

Abstract

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

11 pages, 1 figure

References in corpus (2)

• Twisted Alexander polynomials of 2-bridge knots for parabolic representations
• The universal character ring of some families of one-relator groups

Cited by in corpus (1)

• The A-polynomial 2-tuple of twisted Whitehead links