Twisted cohomology for hyperbolic three manifolds

By P. Menal-Ferrer, J. Porti. 2010

52 citations recorded by the source corpus.

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 representations of SL(2,C). We prove a vanishing result for the cohomology of M with coefficients twisted by these representations, using techniques of Matsushima-Murakami. We give some applications to local rigidity.

View Paper: https://www.semanticscholar.org/paper/1325efe593fba57c3f61aaa44bacf8b5894545b4

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1. P. Menal-Ferrer
2. J. Porti
3. Michael Kapovich
4. B. Leeb

Citations in the corpus

• Higher‐dimensional Reidemeister torsion invariants for cusped hyperbolic 3‐manifolds (2011, background): “In addition, the invariant subspace V ρn(Gj) n is one-dimensional [19]; therefore, different choices of wj ∈ V ρn(Gj) n differ by a multiple.”