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Partially wrapped contact Fukaya categories of 1-jet spaces
Abstract
We introduce the partially wrapped contact Fukaya category of a 1-jet space equipped with a stop, which is an A∞-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.
Related
- Recollements of partially wrapped Fukaya categories and surface cuts
- Symplectomorphism invariance of the wrapped Fukaya category
- The derived Picard group of Fukaya categories of closed surfaces
- Fukaya categories of surfaces with DG coefficients
- Functors from Lagrangian correspondences for wrapped sheaf categories
BibTeX
@misc{liu2026partially,
title = {{Partially wrapped contact Fukaya categories of 1-jet spaces}},
author = {Hanming Liu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01689},
eprint = {2611.01689},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01689},
}
RIS
TY - UNPB
TI - Partially wrapped contact Fukaya categories of 1-jet spaces
AU - Hanming Liu
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01689
UR - https://arxiv.org/abs/2611.01689
AB - We introduce the partially wrapped contact Fukaya category of a 1-jet space equipped with a stop, which is an A_∞-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.
ER -