Deformations of coisotropic submanifolds in Jacobi manifolds

Abstract

In this paper, we attach an L1-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unies analogous constructions by Oh-Park (symplectic case), Cattaneo- Felder (Poisson case), L^e-Oh (locally conformal symplectic case). As a new special case, we attach an L1-algebra to any coisotropic submanifold in a contact manifold. The L1-algebra of a coisotropic submanifold S governs the (formal) deformation problem of S. ⓒ by International Press of Boston, Inc. All rights reserved.