On the Dimension of Cohomology of Bianchi Groups

Details On the Dimension of Cohomology of Bianchi Groups On the Dimension of Cohomology of Bianchi Groups

2012-04-02

arxiv.org/abs/1204.0470v2

Mathematics

Number Theory

Updated Theorem 5.1. according to the newer version of Marshall's paper

Scientific paper

Using Lefschetz numbers of certain involutions, we provide lower bounds for the cuspidal cohomology of principal congruence subgroups of Bianchi groups. The asymptotic lower bounds that follow from our results complement recent results of Calegari-Emerton, Marshall and Finis-Grunewald-Tirao. Moreover, we discuss the relationship between these involutions and the base change classes in the cohomology.

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