86 citations · 543 across the 59 of their papers we have counts for
7 papers · 1 filter
Effective bounds for Vinberg's algorithm for arithmetic hyperbolic lattices
Mikhail Belolipetsky, Michael Kapovich
A group of isometries of a hyperbolic -space is called a reflection group if it is generated by reflections in hyperbolic hyperplanes. Vinberg gave a semi-algorithm for finding…
A note on laminations with symmetric leaves
Michael Kapovich
We prove that (apart from dimension ), each Riemannian solenoidal lamination with transitive homeomorphism group and leaves isometric to a symmetric space of noncompact ty…
On representation varieties of 3-manifold groups
John J. Millson, Michael Kapovich
We prove universality theorems ("Murphy's Laws") for representation schemes of fundamental groups of closed 3-dimensional manifolds. We show that germs of SL(2,C)-representation sc…
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…
Van Kampen's embedding obstruction for discrete groups
Mladen Bestvina, Michael Kapovich, Bruce Kleiner
We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the -fold product of nonab…
Coarse Alexander duality and duality groups
Michael Kapovich, Bruce Kleiner
We study discrete group actions on coarse Poincare duality spaces, e.g. acyclic simplicial complexes which admit free cocompact group actions by Poincare duality groups. When G is…