2004 Volume 40 Issue 3 Pages 1093-1111
Using the notion of subprincipal symbol, we give a necessary condition for the existence of twisted \mathcal{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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