113 research outputs found
Volumes for twist link cone-manifolds
Recently, the explicit volume formulae for hyperbolic cone-manifolds, whose
underlying space is the 3-sphere and the singular set is the knot and the
links and , 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 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 and .Comment: 23 pages, 1 figure. Revised version with minor changes. Accepted for
publication in the Boletin de la Sociedad Matematica Mexicana, special issue
in honor of Francisco "FICO" Gonzales Acun
Dijkgraaf-Witten invariants of surfaces and projective representations of groups
We compute the Dijkgraaf-Witten invariants of surfaces in terms of projective
representations of groups. As an application we prove that the complex
Dijkgraaf-Witten invariants of surfaces of positive genus are positive
integers.Comment: second version: a mistake corrected in the non-orientable case and a
few improvements adde
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