5 papers
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…
Poincaré dualization and Massey products
Aleksandar Milivojevic, Jonas Stelzig, Leopold Zoller
We study the rational homotopy theoretic and geometric properties of a construction which extends any cohomologically connected, finite type cdga to one satisfying cohomological Po…
Strong formality of toric and homogeneous compact Kähler manifolds
Giovanni Placini, Jonas Stelzig, Leopold Zoller
All compact Kähler, or even -manifolds, are rationally formal. Not all of them are strongly formal. Yet some of them are: For complete smooth complex toric v…
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…