13 citations · 38 across the 10 of their papers we have counts for
10 papers
The Deformation algebra of a Dirac--Jacobi structure
Alfonso Giuseppe Tortorella
We develop the deformations theory of a Dirac--Jacobi structure within a fixed Courant--Jacobi algebroid. Using the description of split Courant--Jacobi algebroids as degree co…
Deformations of Symplectic Foliations
Stephane Geudens, Alfonso G. Tortorella, Marco Zambon
We develop the deformation theory of symplectic foliations, i.e. regular foliations equipped with a leafwise symplectic form. The main result of this paper is that each symplectic…
Weak Dual Pairs in Dirac-Jacobi Geometry
Jonas Schnitzer, Alfonso Giuseppe Tortorella
Adopting the omni-Lie algebroid approach to Dirac-Jacobi structures, we propose and investigate a notion of weak dual pairs in Dirac-Jacobi geometry. Their main motivating examples…
Homogeneous G-structures
Alfonso G. Tortorella, Luca Vitagliano, Ori Yudilevich
The theory of -structures provides us with a unified framework for a large class of geometric structures, including symplectic, complex and Riemannian structures, as well as fol…
Deformations of coisotropic submanifolds in Jacobi manifolds
Alfonso Giuseppe Tortorella
In this thesis, we study the deformation problem of coisotropic submanifolds in Jacobi manifolds. In particular we attach two algebraic invariants to any coisotropic submanifold $S…
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…
Rigidity of integral coisotropic submanifolds of contact manifolds
Alfonso Giuseppe Tortorella
Unlike Legendrian submanifolds, the deformation problem of coisotropic submanifolds can be obstructed. Starting from this observation, we single out in the contact setting the spec…
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…
Kirillov structures up to homotopy
Andrew James Bruce, Alfonso G. Tortorella
We present the notion of higher Kirillov brackets on the sections of an even line bundle over a supermanifold. When the line bundle is trivial we shall speak of higher Jacobi brack…
Deformations of Coisotropic Submanifolds in Jacobi Manifolds
Hông Vân Lê, Yong-Geun Oh, Alfonso G. Tortorella +1
In this paper, we attach an -algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (sym…