Functors from Lagrangian correspondences for wrapped sheaf categories

@misc{ganatra2026functors,
  title = {{Functors from Lagrangian correspondences for wrapped sheaf categories}},
  author = {Sheel Ganatra and Christopher Kuo and Wenyuan Li and Haosen Wu},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07466},
  eprint = {2611.07466},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07466},
}

TY  - UNPB
TI  - Functors from Lagrangian correspondences for wrapped sheaf categories
AU  - Sheel Ganatra
AU  - Christopher Kuo
AU  - Wenyuan Li
AU  - Haosen Wu
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07466
UR  - https://arxiv.org/abs/2611.07466
AB  - We consider the category of sheaves on a manifold with microsupport in a singular conic Lagrangian, and more generally microsheaves on the Lagrangian skeleton of a Weinstein manifold with stop, which are equivalent to ind-completions of partially wrapped Fukaya categories. Compact objects in these categories are obtained as wrappings of constructible sheaves with perfect stalks; they correspond to objects built from exact Lagrangians in finitely many steps. We give a microlocal criterion on constructible (micro)sheaves with perfect (micro)stalks which guarantees that the corresponding wrapped sheaves induce integral kernels that preserve compact objects of these categories. This generalizes a result of Gao on Lagrangian correspondences between fully wrapped Fukaya categories.
ER  -