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Abstract: Fix a manifold M, and let V be an infinite dimensional Lie algebra of vectorfields on M. Assume that V contains a finite dimensional semisimple maximalsubalgebra A, the projective or conformal subalgebra. A projective or conformalquantization of a V-module of differential operators on M is a decompositioninto irreducible A-modules. We survey recent results on projectivequantizations and their applications to cohomology, geometric equivalences andsymmetries of differential operator modules, and indecomposable modules.



Author: Charles H. Conley

Source: https://arxiv.org/







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