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Volumes of double twist knot cone-manifolds

Published 27 Dec 2015 in math.GT | (1512.08165v1)

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.

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