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most citedHyperbolic volume of representations of fundamental groups of cusped 3-manifolds

17 citations · 20 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.GT2007

Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots

Stefano Francaviglia, Joan Porti

We prove that, for a hyperbolic two bridge knot, infinitely many Dehn fillings are rigid in . Here rigidity means that any discrete and faithful representation in $SO_0(…

math.GT2003★ 17 cited

Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds

Stefano Francaviglia

Let W be a compact manifold and let ρbe a representation of its fundamental group into PSL(2,C). The volume of ρis defined by taking any ρ-equivariant map from the universal cover…

math.GT2003★ 1 cited

Algebraic and geometric solutions of hyperbolic Dehn filling equations

S. Francaviglia

In this paper we study the difference between algebraic and geometric solutions of the hyperbolic Dehn filling equations for ideally triangulated 3-manifolds. We show that any geom…