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arXiv · 2211.13945

The $γ$-support as a micro-support

Tomohiro Asano·Stéphane Guillermou·Vincent Humilière·Yuichi Ike·Claude Viterbo
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Abstract

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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Tomohiro Asano, Stéphane Guillermou, Vincent Humilière, Yuichi Ike, Claude Viterbo. 2023-11-03. The $γ$-support as a micro-support. https://doi.org/10.5802/crmath.499

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