2020/06/26 by Tatsuki Kuwagaki, Kuwagaki, Tatsuki
Physics and Astronomy · #Advanced Fiber Laser Technologies #Algebraic Geometry (math.AG) #Atomic and Subatomic Physics Research #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Quantum Mechanics and Non-Hermitian Physics #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2006.14872
openalex publication_date 2020/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A sheaf quantization is a sheaf associated to a Lagrangian brane. By using the results of exact WKB analysis, we sheaf-quantize spectral curves over the Novikov ring under some assumptions on the behavior of Stokes curves. For Schrödinger equations, we prove that the local system associated to the sheaf quantization (microlocalization a.k.a. abelianization) over the spectral curve can be identified with the Voros--Iwaki--Nakanishi coordinate. We expect that these sheaf quantizations are the object-level realizations of the ℏ-enhanced Riemann--Hilbert correspondence.