JournalsprimsVol. 40, No. 3pp. 1093–1111

On Twisted Microdifferential Modules I. Non-existence of Twisted Wave Equations

  • Andrea D'Agnolo

    Università di Padova, Italy
  • Pierre Schapira

    Université Pierre et Marie Curie, Paris, France
On Twisted Microdifferential Modules I. Non-existence of Twisted Wave Equations cover
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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 this article

Andrea D'Agnolo, Pierre Schapira, On Twisted Microdifferential Modules I. Non-existence of Twisted Wave Equations. Publ. Res. Inst. Math. Sci. 40 (2004), no. 3, pp. 1093–1111

DOI 10.2977/PRIMS/1145475504