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math.AT2020
Reconstructing the orbit type stratification of a torus action from its equivariant cohomology
Oliver Goertsches, Leopold Zoller
We investigate what information on the orbit type stratification of a torus action on a compact space is contained in its rational equivariant cohomology algebra. Regarding the (la…
math.AT2020
GKM manifolds are not rigid
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
We construct effective GKM -actions with connected stabilizers on the total spaces of the two -bundles over with identical GKM graphs. This shows that the GKM graph…
math.SG2020
Realization of GKM fibrations and new examples of Hamiltonian non-Kähler actions
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
We classify fibrations of abstract -regular GKM graphs over -regular ones, and show that all fiberwise signed fibrations of this type are realized as the projectivization of…