36 citations · 458 across the 47 of their papers we have counts for
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Infinitesimal Automorphisms of VB-groupoids and algebroids
Chiara Esposito, Alfonso Giuseppe Tortorella, Luca Vitagliano
VB-groupoids and algebroids are vector bundle objects in the categories of Lie groupoids and Lie algebroids respectively, and they are related via the Lie functor. VB-groupoids and…
Holomorphic Jacobi Manifolds
Luca Vitagliano, Aïssa Wade
In this paper, we develop holomorphic Jacobi structures. Holomorphic Jacobi manifolds are in one-to-one correspondence with certain homogeneous holomorphic Poisson manifolds. Furth…
Jacobi bundles and the BFV-complex
Hông Vân Lê, Alfonso G. Tortorella, Luca Vitagliano
We extend the construction of the BFV-complex of a coisotropic submanifold from the Poisson setting to the Jacobi setting. In particular, our construction applies in the contact an…