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arXiv · 1601.04919

A-infinity functors for Lagrangian correspondences

S. Ma'u·K. Wehrheim·C. Woodward
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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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S. Ma'u, K. Wehrheim, C. Woodward. 2016-01-19. A-infinity functors for Lagrangian correspondences. https://arxiv.org/abs/1601.04919

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