3 papers
math.DG2026
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…
math.GT2026
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…
math.GT2025
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…