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arXiv · 2611.01689

Partially wrapped contact Fukaya categories of 1-jet spaces

Hanming Liu
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Abstract

We introduce the partially wrapped contact Fukaya category of a 1-jet space equipped with a stop, which is an \(A_\infty\)-category of Legendrians equipped with representations of their Chekanov-Eliashberg algebras. This category is invariant under contact isotopies of the stop. We prove a wrapping exact triangle and a generation theorem. When the stop is bounded subanalytic singular isotropic, we prove a Morita equivalence between the partially wrapped contact Fukaya category and a microlocal sheaf category.

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Hanming Liu. 2026-11-01. Partially wrapped contact Fukaya categories of 1-jet spaces. https://arxiv.org/abs/2611.01689

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