4 papers
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…
GKM actions on almost quaternionic manifolds
Oliver Goertsches, Eugenia Loiudice
We introduce quaternionic structures on abstract GKM graphs, as the combinatorial counterpart of almost quaternionic structures left invariant by a torus action of GKM type. In the…
On the Stiefel-Whitney classes of GKM manifolds
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
We show that under standard assumptions on the isotropy groups of an integer GKM manifold, the equivariant Stiefel-Whitney classes of the action are determined by the GKM graph. Th…