γ-支持作为微支持

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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