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math.AT2026
The classical topological invariants of homogeneous spaces
John Jones, Dmitriy Rumynin, Adam R. Thomas
We study the homogeneous spaces of a simply connected, compact, simple Lie group through the lens of K-theory. Our methods apply equally well to the case where is in one of…
math.AT2026
Topological rigidity of -quotients
Dylan Johnston, Dmitriy Rumynin
We investigate the homotopy type of a certain homogeneous space for a simple complex algebraic group. We calculate some of its classical topological invariants and introduce a new…