γ-支持作为微支持

IF 0.8 4区数学 Q2 MATHEMATICS Comptes Rendus Mathematique Pub Date : 2023-10-31 DOI:10.5802/crmath.499

Tomohiro Asano, Stéphane Guillermou, Vincent Humilière, Yuichi Ike, Claude Viterbo

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引用次数: 0

摘要

我们证明了在具有谱距离的余切束的光滑紧致精确拉格朗日子流形空间的补全中，对于任意元素L, L的γ-支持与其束量化的简化微支持一致。作为应用，我们给出了关于γ-支持的Vichery次微分的一个表征。

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The γ-support as a micro-support

We prove that for any element L in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the γ-support of L coincides with the reduced micro-support of its sheaf quantization. As an application, we give a characterization of the Vichery subdifferential in terms of γ-support.

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.