Deformations of coisotropic submanifolds in Jacobi manifolds

Abstract

In this paper, we attach an L-infinity-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo Felder (Poisson case), Le-Oh (locally conformal symplectic case). As a new special case, we attach an L-infinity-algebra to any coisotropic submanifold in a contact manifold. The L-infinity-algebra of a coisotropic submanifold S governs the (formal) deformation problem of S.