On twisted microdifferential modules I. Non-existence of twisted wave equations
Algebraic Geometry
2015-05-12 v1 Analysis of PDEs
Abstract
Using the notion of subprincipal symbol, we give a necessary condition for the existence of twisted D-modules simple along a smooth involutive submanifold of the cotangent bundle to a complex manifold. As an application, we prove that there are no generalized massless field equations with non trivial twist on grassmannians, and in particular that the Penrose transform does not extend to the twisted case.
Cite
@article{arxiv.math/0401204,
title = {On twisted microdifferential modules I. Non-existence of twisted wave equations},
author = {Andrea D'Agnolo and Pierre Schapira},
journal= {arXiv preprint arXiv:math/0401204},
year = {2015}
}
Comments
LaTeX, 18 pages