5 papers
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 .
Equivariant cohomology epimorphisms and face ring quotients for Hamiltonian and complexity one GKM manifolds
Oliver Goertsches, Grigory Solomadin
Given a GKM action of a torus on a manifold with GKM graph , we show that for any extension of to an abstract GKM graph the corresponding restriction map in eq…
Extensions of realizable Hamiltonian and complexity one GKM graphs
Oliver Goertsches, Grigory Solomadin
We prove that the GKM graphs of GKM manifolds that are either Hamiltonian or of complexity one extend to torus graphs. The arguments are based on a reformulation of the extensi…
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…
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…