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
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…
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…