Deformations of coisotropic submanifolds in Jacobi manifolds
  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 $S$ in a Jacobi manifold, namely the
$L_\infty[1]$-algebra and the BFV-complex of $S$. Our construction generalizes
and unifies analogous constructions in symplectic, Poisson, and locally
conformal symplectic geometry. As a new special case we also attach an
$L_\infty[1]$-algebra and a BFV-complex to any coisotropic submanifold in a
contact manifold. The $L_\infty[1]$-algebra of $S$ controls the formal
coisotropic deformation problem of $S$, even under Hamiltonian equivalence. The
BFV-complex of $S$ controls the non-formal coisotropic deformation problem of
$S$, even under both Hamiltonian and Jacobi equivalence. In view of these
results, we exhibit, in the contact setting, two examples of coisotropic
submanifolds whose coisotropic deformation problem is obstructed.
