A-infinity functors for Lagrangian correspondences

Published 19 Jan 2016 in math.SG | (1601.04919v5)

Abstract: 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.

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