The $\gamma$-support as a micro-support
Symplectic Geometry
2023-11-06 v2
Abstract
We prove that for any element in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the -support of coincides with the reduced micro-support of its sheaf quantization. As an application, we give a characterization of the Vichery subdifferential in terms of -support.
Cite
@article{arxiv.2211.13945,
title = {The $\gamma$-support as a micro-support},
author = {Tomohiro Asano and Stéphane Guillermou and Vincent Humilière and Yuichi Ike and Claude Viterbo},
journal= {arXiv preprint arXiv:2211.13945},
year = {2023}
}
Comments
9 pages, final version