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.
Titolo: | Volumes for twist link cone-manifolds |
Autore/i: | D. Derevnin; A. Mednykh; MULAZZANI, MICHELE |
Autore/i Unibo: | |
Anno: | 2004 |
Rivista: | |
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. |
Data prodotto definitivo in UGOV: | 2005-10-11 11:08:33 |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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