论文标题

$ \ hbar $ -Riemann-Hilbert信函

$\hbar$-Riemann-Hilbert correspondence

论文作者

Kuwagaki, Tatsuki

论文摘要

我们制定并证明了$ \ hbar $ - 差异方程与捆绑量化之间的riemann-hilbert对应关系,可以将其视为全体形状cotangangent套件的两种量化(变形和脱水量化)之间的对应关系。后一种类别有望等同于福卡亚类别的版本,这是拉格朗日交叉理论的“量化”。结构的思想基于渐近/WKB分析,这与几何量化有关。

We formulate and prove a Riemann-Hilbert correspondence between $\hbar$-differential equations and sheaf quantizations, which can be considered as a correspondence between two kinds of quantizations (deformation and sheaf quantization) of holomorphic cotangent bundles. The latter category is expected to be equivalent to a version of Fukaya category, which is a "quantization" of Lagrangian intersection theory. The ideas of the constructions are based on asymptotic/WKB analysis, which is related to geometric quantization.

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