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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
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…