The cohomology with local coefficients of compact hyperbolic manifolds - long version
نویسنده
چکیده
We extend the techniques developed by Millson and Raghunathan in [MR] to prove nonvanishing results for the cohomology of compact arithmetic quotients M of hyperbolic n-space H with values in the local coefficient systems associated to finite dimensional irreducible representations of the group SO(n, 1). We prove that all possible nonvanishing results compatible with the vanishing theorems of [VZ] can be realized by any sufficiently deep congruence subgroup of the standard cocompact arithmetic examples.
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