Sheaf quantization in Weinstein symplectic manifolds

2020/07/16 by David Nadler, Vivek Shende, Nadler, David +1 · 3 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2007.10154

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.

Citations

• Mirror symmetry for very affine hypersurfaces

Cited by

• Homological Mirror Symmetry for the universal centralizers I: The adjoint group case
• C⁰-rigidity of Legendrians and coisotropics via sheaf quantization
• Lagrangian cobordism functor in microlocal sheaf theory I

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