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September 2012 Twisted cohomology for hyperbolic three manifolds
Pere Menal-Ferrer, Joan Porti
Osaka J. Math. 49(3): 741-769 (September 2012).

Abstract

For a complete hyperbolic three manifold $M$, we consider the representations of $\pi_{1}(M)$ obtained by composing a lift of the holonomy with complex finite dimensional representations of $\mathrm{SL}(2,\mathbf{C})$. 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.

Citation

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Pere Menal-Ferrer. Joan Porti. "Twisted cohomology for hyperbolic three manifolds." Osaka J. Math. 49 (3) 741 - 769, September 2012.

Information

Published: September 2012
First available in Project Euclid: 15 October 2012

zbMATH: 1255.57018
MathSciNet: MR2993065

Subjects:
Primary: 57M50
Secondary: 20C15

Rights: Copyright © 2012 Osaka University and Osaka City University, Departments of Mathematics

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Vol.49 • No. 3 • September 2012
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