5 citations · 5 across the 4 of their papers we have counts for
8 papers
Low-dimensional GKM theory
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
GKM theory is a powerful tool in equivariant topology and geometry that can be used to generalize classical ideas from (quasi)toric manifolds to more general torus actions. After a…
Torus equivariant algebraic models and compact realization
Leopold Zoller
Let be a compact torus. We prove that, up to equivariant rational equivalence, the category of -simply connected, -finite type -spaces with finitely many isotropy type…
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…
The Toral Rank Conjecture and variants of equivariant formality
Manuel Amann, Leopold Zoller
An action of a compact Lie group is called equivariantly formal, if the Leray--Serre spectral sequence of its Borel fibration degenerates at the E_2-term. This term is as prominent…
GKM theory and Hamiltonian non-Kähler actions in dimension
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
Using the classification of -dimensional manifolds by Wall, Jupp and Žubr, we observe that the diffeomorphism type of simply-connected, compact -dimensional integer GKM …
Symplectic and Kähler structures on biquotients
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
We construct symplectic structures on roughly half of all equal rank biquotients of the form , where is a compact simple Lie group and a torus, and investigate Hamilt…