Twisted cohomology for hyperbolic three manifolds
Geometric Topology
2013-04-17 v2 Differential Geometry
Abstract
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.
Cite
@article{arxiv.1001.2242,
title = {Twisted cohomology for hyperbolic three manifolds},
author = {Pere Menal-Ferrer and Joan Porti},
journal= {arXiv preprint arXiv:1001.2242},
year = {2013}
}