On twisted microdifferential modules I. Non-existence of twisted wave equations

Details On twisted microdifferential modules I. Non-existence of twisted wave equations On twisted microdifferential modules I. Non-existence of twisted wave equations

2004-01-16

arxiv.org/abs/math/0401204v1

Publ. Res. Inst. Math. Sci. 40, no. 3 (2004), 1093--1111

Mathematics

Algebraic Geometry

LaTeX, 18 pages

Scientific paper

10.2977/prims/1145475504

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.

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