J un 2 00 4 A field theory for symplectic fibrations over surfaces

We describe in this paper a field theory for Hamiltonian fibrations over oriented surfaces with boundaries and marked points. In this context, a Hamiltonian fibration (M,ω) →֒ P → Σ is a symplectic manifold (P,Ω) whose form restricts to a symplectic form on each fiber, endowed with interior marked points on Σ. The restriction of Ω to the 1-skeleton of Σ is… CONTINUE READING