12 citations · 18 across the 12 of their papers we have counts for
13 papers
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…
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…
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…
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…
Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids
Panagiotis Batakidis, Fani Petalidou
We construct an algebra and a complex of multidifferential operators on tensor products of a Courant algebroid E with values in the endomorphism bundle of a smooth vector bundle B,…
Poisson Cohomology of Broken Lefschetz Fibrations
Panagiotis Batakidis, Ramón Vera
We compute the formal Poisson cohomology of a broken Lefschetz fibration by calculating it at fold and Lefschetz singularities. Near a fold singularity the computation reduces to t…