Panagiotis Konstantis

collaborators

4 papers

math.SG2026

Finiteness and boundedness of positive monotone Hamiltonian GKM $_{3}$ 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 $_{3}$ , which general…

math.AT2026

Almost quaternionic structures on compact rank one symmetric spaces

Oliver Goertsches, Panagiotis Konstantis, Eugenia Loiudice +1

We prove that the only CROSSes that admit a (not necessarily homogeneous) almost quaternionic structure are $H P^{n}$ and $C P^{2}$ .

math.AT2025

On torus equivariant $S^{4}$ -bundles over $S^{4}$ and Petrie-type questions for GKM manifolds

Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller

We classify $T^{2}$ -GKM fibrations in which both fiber and base are the GKM graph of $S^{4}$ , with standard weights in the base. For each case in which the total space is orientable, w…

math.AT2025

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…

Finiteness and boundedness of positive monotone Hamiltonian GKM3​ spaces

Almost quaternionic structures on compact rank one symmetric spaces

On torus equivariant S4-bundles over S4 and Petrie-type questions for GKM manifolds

On GKM fiber bundles and realizability with full flag fibers

Finiteness and boundedness of positive monotone Hamiltonian GKM $_{3}$ spaces

On torus equivariant $S^{4}$ -bundles over $S^{4}$ and Petrie-type questions for GKM manifolds