A-infinity functors for Lagrangian correspondences
  We construct A-infinity functors between Fukaya categories associated to monotone Lagrangian correspondences between compact symplectic manifolds. We then show that the composition of A-infinity functors for correspondences is homotopic to the functor for the composition, in the case that the composition is smooth and embedded. 
S. Ma'u, K. Wehrheim, C. Woodward
math.SG