Gerstenhaber and batalin–vilkovisky structures on lagrangian intersections

Abstract

Let M and N be Lagrangian submanifolds of a complex symplectic manifold S. We construct a Gerstenhaber algebra structure on (Formula Presented) and a compatible Batalin–Vilkovisky module structure on (Formula Presented). This gives rise to a de Rham type cohomology theory for Lagrangian intersections.