A-infinity functors for Lagrangian correspondences
Symplectic Geometry
2018-02-26 v5
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.
Cite
@article{arxiv.1601.04919,
title = {A-infinity functors for Lagrangian correspondences},
author = {S. Ma'u and K. Wehrheim and C. Woodward},
journal= {arXiv preprint arXiv:1601.04919},
year = {2018}
}
Comments
84 pages, 20 figures. To appear in Selecta Math