# Jacobi bundles and the BFV-complex

Research paper by Hông Vân Lê, Alfonso G. Tortorella, Luca Vitagliano

Indexed on: 18 Jan '16Published on: 18 Jan '16Published in: Mathematics - Differential Geometry

#### Abstract

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 and l.c.s. settings. The BFV-complex of a coisotropic submanifold $S$ controls the coisotropic deformation problem of $S$ under both Hamiltonian and Jacobi equivalence.