Sheaf quantization in Weinstein symplectic manifolds

Abstract

Using the microlocal theory of sheaves, we associate a category to each Weinstein manifold. By constructing a microlocal specialization functor, we show that exact Lagrangians give objects in our category, and that the category is invariant under Weinstein homotopy.

66 pages. Accepted version

References in corpus (4)

• Higher Topos Theory
• Categorification of the braid groups
• Sheaf Quantization of Lagrangians and Floer cohomology
• Microlocal sheaf categories and the $J$-homomorphism

Cited by in corpus (9)

• Homological mirror symmetry at large volume
• Microlocal sheaf categories and the $J$-homomorphism
• Mirror symmetry for Berglund-Hübsch Milnor fibers
• Mirror Symmetry for Truncated Cluster Varieties
• Localization and flexibilization in symplectic geometry
• Lagrangian cobordism functor in microlocal sheaf theory I
• The infinity-category of stabilized Liouville sectors
• Microsheaves from Hitchin fibers via Floer theory
• Homological Mirror Symmetry for the universal centralizers I: The adjoint group case