Compact exact Lagrangian intersections in cotangent bundles via sheaf quantization (with an appendix by Tomohiro Asano)

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.

36 pages, 4 figures. Typo fixed

References in corpus (1)

• The Arnold-Givental conjecture and moment Floer homology

Cited by in corpus (3)

• Wrapped sheaves
• Sheaf quantization and intersection of rational Lagrangian immersions
• Lagrangian cobordism and shadow distance in Tamarkin category