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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.AT2026
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…