Projectively Equivariant Quantization Map |
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Authors: | Bouarroudj Sofiane |
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Institution: | (1) Centre de Physique Théorique, Luminy, CNRS, Case 907, F13288 Marseille, Cedex 9, France |
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Abstract: | Let M be a manifold endowed with a symmetric affine connection . The aim of this Letter is to describe a quantization map between the space of second-order polynomials on the cotangent bundle T* M and the space of second-order linear differential operators, both viewed as modules over the group of diffeomorphisms and the Lie algebra of vector fields on M. This map is an isomorphism, for almost all values of certain constants, and it depends only on the projective class of the affine connection . |
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Keywords: | quantization projective structures projective connection modules of differential operators |
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