Microlocal study of sheaves. I: Contact transformations
type: Item
instance of: scholarly article
title: Microlocal study of sheaves. I: Contact transformations
zbMATH Open document ID: 0548.58039
author: Masaki Kashiwara
author: Pierre Schapira
published in: Proceedings of the Japan Academy. Series A
publication date: 1983-01-01T00:00:00Z
review text: [For part II see the review in Zbl 0548.32018.] In our paper in C. R. Acad. Sci., Paris, Sér. I 295, 487-490 (1982; Zbl 0501.58006) we defined the micro-support of a complex of sheaves F on a real manifold X and studied its functorial properties. With this tool, we are now able to quantize contact transformations for any sheaves. We prove that such q.c.t. commute with the Sato microlocalization, and when the manifolds are complex analytic we prove that the structure sheaf \({\mathcal O}_ X\) is invariant by q.c.t.
Mathematics Subject Classification ID: 58J40
zbMATH DE Number: 3874288
MaRDI profile type: Publication
full work available at URL: pjaa.59.349
OpenAlex ID: W2014173342
cites work: Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
cites work: Q3966792
cites work: The Weil representation, Maslov index and theta series
cites work: Q4403324
DOI: 10.3792/PJAA.59.349
description: scientific article; zbMATH DE number 3874288