Compact exact Lagrangian intersections in cotangent bundles via sheaf quantization (with an appendix by Tomohiro Asano)
Symplectic Geometry
2023-07-21 v7 Geometric Topology
Abstract
We show that the cardinality of the transverse intersection of two compact exact Lagrangian submanifolds in a cotangent bundle is bounded from below by the dimension of the Hom space of sheaf quantizations of the Lagrangians in Tamarkin's category. Our sheaf-theoretic method can also deal with clean and degenerate Lagrangian intersections.
Cite
@article{arxiv.1701.02057,
title = {Compact exact Lagrangian intersections in cotangent bundles via sheaf quantization (with an appendix by Tomohiro Asano)},
author = {Yuichi Ike},
journal= {arXiv preprint arXiv:1701.02057},
year = {2023}
}
Comments
36 pages, 4 figures. Typo fixed