86 citations · 543 across the 59 of their papers we have counts for
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On sequences of finitely generated discrete groups
Michael Kapovich
We consider sequences of finitely generated discrete subgroups Gamma_i=rho_i(Gamma) of a rank 1 Lie group G, where the representations rho_i are not necessarily faithful. We show t…
Energy of harmonic functions and Gromov's proof of Stallings' theorem
Michael Kapovich
We provide the details for Gromov's proof of Stallings' theorem on groups with infinitely many ends using harmonic functions. The main technical result of the paper is a compactnes…
Homological dimension and critical exponent of Kleinian groups
Michael Kapovich
We prove that the relative homological dimension of a Kleinian group G does not exceed 1 + the critical exponent of G. As an application of this result we show that for a geometric…
Kleinian groups in higher dimensions
Michael Kapovich
This is a survey of higher-dimensional Kleinian groups, i.e., discrete isometry groups of the hyperbolic n-space for n greater than 3. Our main emphasis is on the topological and g…