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math.AT2023
On the 32-dimensional Rosenfeld projective plane
John Jones, Dmitriy Rumynin, Adam R. Thomas
Following on from arXiv:2310.14365 [math.AT], we make a detailed study of the -dimensional Rosenfeld projective plane which is the symmetric space EIII in Cartan's list of comp…
math.AT2023
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…