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Finiteness and boundedness of positive monotone Hamiltonian GKM spaces
Panagiotis Konstantis, Silvia Sabatini, Leopold Zoller
In this paper, we establish three finiteness and boundedness theorems for compact positive monotone symplectic manifolds endowed with special actions, called GKM, which general…
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…
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…