42 citations · 57 across the 3 of their papers we have counts for
4 papers
Local coordinates for SL(n,C) character varieties of finite volume hyperbolic 3-manifolds
Pere Menal-Ferrer, Joan Porti
Given a finite volume hyperbolic 3-manifold, we compose a lift of the holonomy in SL(2,C) with the n-dimensional irreducible representation of SL(2,C) in SL(n,C). In this paper we…
Higher dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds
Pere Menal-Ferrer, Joan Porti
For an oriented finite volume hyperbolic 3-manifold M with a fixed spin structure η, we consider a sequence of invariants {τ_n(M; η)}. Roughly speaking, {τ_n(M; η)} is the Reidemei…
Mutation and SL(2,C)-Reidemeister torsion for hyperbolic knots
Pere Menal-Ferrer, Joan Porti
Given a hyperbolic knot, we prove that the Reidemeister torsion of any lift of the holonomy to SL(2,C) is invariant under mutation along a Conway sphere.
Twisted cohomology for hyperbolic three manifolds
Pere Menal-Ferrer, Joan Porti
For a complete hyperbolic three manifold M, we consider the representations of its fundamental group obtained by composing a lift of the holonomy with complex finite dimensional re…