# On partially wrapped Fukaya categories

@article{Sylvan2019OnPW,
title={On partially wrapped Fukaya categories},
author={Zachary Sylvan},
journal={Journal of Topology},
year={2019}
}
We define a new class of symplectic objects called "stops", which roughly speaking are Liouville hypersurfaces in the boundary of a Liouville domain. Locally, these can be viewed as pages of a compatible open book. To a Liouville domain with a collection of disjoint stops, we assign an $A_\infty$-category called its partially wrapped Fukaya category. An exact Landau-Ginzburg model gives rise to a stop, and the corresponding partially wrapped Fukaya category is meant to agree with the Fukaya…

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