The $\gamma $-support as a micro-support

Autor: Asano, Tomohiro, Guillermou, Stéphane, Humilière, Vincent, Ike, Yuichi, Viterbo, Claude
Jazyk: English<br />French
Rok vydání: 2023
Předmět:
Zdroj: Comptes Rendus. Mathématique, Vol 361, Iss G8, Pp 1333-1340 (2023)
Druh dokumentu: article
ISSN: 1778-3569
DOI: 10.5802/crmath.499
Popis: 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 $\gamma $-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 $\gamma $-support.
Databáze: Directory of Open Access Journals