4 papers
math.DS2026
Equidistribution of currents under Anosov group actions
Nguyen-Bac Dang, Michael Kapovich, Mikhail Lyubich +1
We study the behavior of currents on flag-manifolds under actions of Anosov subgroups of complex semisimple Lie groups G. Given a current T of bidimension (k, k) on the full flag-m…
math.GR2024
Klein-Maskit combination theorem for Anosov subgroups: Amalgams
Subhadip Dey, Michael Kapovich
The classical Klein-Maskit combination theorems provide sufficient conditions to construct new Kleinian groups using old ones. There are two distinct but closely related combinatio…
math.GR2024
A note on properly discontinuous actions
Michael Kapovich
We compare various notions of proper discontinuity for group actions. We also discuss fundamental domains and criteria for cocompactness.
math.GR2024
Domains of discontinuity of Lorentzian affine group actions
Michael Kapovich, Bernhard Leeb
We prove nonemptyness of domains of proper discontinuity of Anosov groups of affine Lorentzian transformations.