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math.GT2026
Compact quotients of homogeneous spaces and homotopy theory of sphere bundles
Fanny Kassel, Yosuke Morita, Nicolas Tholozan
A reductive homogeneous space is always diffeomorphic to the normal bundle of an orbit of a maximal compact subgroup of . We prove that if admits compact quotients,…
math.GT2026
Positive representations over real closed fields
Xenia Flamm, Nicolas Tholozan, Tianqi Wang +1
We develop the theory of -positive representations from general Fuchsian groups to linear groups over real closed fields. Our definition, which does not assume the boundary map…