Recently, the explicit volume formulae for hyperbolic cone-manifolds, whose underlying space is the 3-sphere and the singular set is the knot 4_1 and the links 5^2_1 and 6^2_2, have been obtained by the second named author and his collaborators. In this paper we explicitly find the hyperbolic volume for cone-manifolds with the link 6^2_3 as singular set. Trigonometric identities (Tangent, Sine and Cosine Rules) between complex lengths of singular components and cone angles are obtained for an infinite family of two-bridge links containing 5^2_1 and 6^2_3.

Volumes for twist link cone-manifolds

MULAZZANI, MICHELE
2004

Abstract

Recently, the explicit volume formulae for hyperbolic cone-manifolds, whose underlying space is the 3-sphere and the singular set is the knot 4_1 and the links 5^2_1 and 6^2_2, have been obtained by the second named author and his collaborators. In this paper we explicitly find the hyperbolic volume for cone-manifolds with the link 6^2_3 as singular set. Trigonometric identities (Tangent, Sine and Cosine Rules) between complex lengths of singular components and cone angles are obtained for an infinite family of two-bridge links containing 5^2_1 and 6^2_3.
2004
D. Derevnin; A. Mednykh; M. Mulazzani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/12895
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