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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.DG2024

Atiyah classes of Lie algebroid homotopy modules

Panagiotis Batakidis, Sylvain Lavau

For a Lie algebroid pair we study cocycles constructed from the extension to of the higher connection forms of a representation up to homotopy of the L…