Nicolas Tholozan

collaborators

3 papers

math.GR2026

Sharpness of proper and cocompact actions on reductive homogeneous spaces

Fanny Kassel, Nicolas Tholozan

We prove that if $G$ is any noncompact connected real reductive linear Lie group, and $I^$ any discrete subgroup of $G$ acting properly discontinuously and cocompactly on some homo…

math.GT2026

Positive representations over real closed fields

Xenia Flamm, Nicolas Tholozan, Tianqi Wang +1

We develop the theory of $I^$ -positive representations from general Fuchsian groups to linear groups over real closed fields. Our definition, which does not assume the boundary map…

math.GT2026

Compact quotients of homogeneous spaces and homotopy theory of sphere bundles

Fanny Kassel, Yosuke Morita, Nicolas Tholozan

A reductive homogeneous space $G / H$ is always diffeomorphic to the normal bundle of an orbit of a maximal compact subgroup of $G$ . We prove that if $G / H$ admits compact quotients,…