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math.AT2026
Almost quaternionic structures on compact rank one symmetric spaces
Oliver Goertsches, Panagiotis Konstantis, Eugenia Loiudice +1
We prove that the only CROSSes that admit a (not necessarily homogeneous) almost quaternionic structure are and .
math.AT2025
On torus equivariant -bundles over and Petrie-type questions for GKM manifolds
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
We classify -GKM fibrations in which both fiber and base are the GKM graph of , with standard weights in the base. For each case in which the total space is orientable, w…
math.AT2025
On GKM fiber bundles and realizability with full flag fibers
Oliver Goertsches, Panagiotis Konstantis, Nikolas Wardenski +1
We investigate under which conditions an equivariant fiber bundle whose base, total space and fiber are GKM manifolds induces a fibration or fiber bundle of the corresponding GKM g…