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math.DG2021
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…
math.SG2021
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…
math.DG2021
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…