XXIX Workshop on Geometric Methods in Physics 27.06-03.07.2010

Jean-Philippe Michel

Conformally equivariant quantization of supercotangent bundles

We develop the equivariant quantization, with respect to conformal transformations, for spin systems. In particular we prove the uniquenes of an equivariant symbol map, from spinor differential operators to functions on the supercotangent bundle. Strong link with conformally invariant operators is highlighted.

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