6 papers
Obstructions to lifting quaternionic torus actions
Panagiotis Batakidis, Ioannis Gkeneralis
We study the problem of lifting global and local quaternionic torus actions to principal quaternionic torus bundles. Let \(Q^k=(\operatorname{Sp}(1))^k\cong (S^3)^n\), let \(G\) be…
The topology of local quaternionic toric actions
Panagiotis Batakidis, Ioannis Gkeneralis
In this paper we examine the topology of manifolds equipped with a local quaternionic toric action modeled on the regular representation of the quaternionic torus . Bu…
Equivariant rigidity of complex and quaternionic moment--angle manifolds
Ioannis Gkeneralis
We investigate equivariant rigidity properties of complex and quaternionic moment--angle manifolds. By reducing the classification problem to the equivariant rigidity of their quas…
Remarks on Topological Rigidity of Real Moment-Angle Manifolds
Ioannis Gkeneralis
We study topological rigidity of real moment-angle manifolds associated to flag simplicial complexes. Using the cubical geometry arising from the Davis construction, we identify th…
Tetraplectic structures compatible with local quaternionic toric actions
Panagiotis Batakidis, Ioannis Gkeneralis
This paper introduces a quaternionic analogue of toric geometry by developing the theory of local -actions on 4n-dimensional manifolds, modeled on the regular repre…
Topological rigidity of quoric manifolds
I. Gkeneralis, S. Prassidis
Quoric manifolds are the quaternionic analogue of toric manifolds. They admit a locally nice action of and the quotient is a manifold with corners. We show that they sati…