An explicit formula for the natural and conformally invariant quantization

Details An explicit formula for the natural and conformally invariant quantization An explicit formula for the natural and conformally invariant quantization

2009-02-09

arxiv.org/abs/0902.1543v1

Mathematics

Differential Geometry

12 pages

Scientific paper

In [5], P. Lecomte conjectured the existence of a natural and conformally invariant quantization. In [7], we gave a proof of this theorem thanks to the theory of Cartan connections. In this paper, we give an explicit formula for the natural and conformally invariant quantization of trace-free symbols thanks to the method used in [7] and to tools already used in [8] in the projective setting. This formula is extremely similar to the one giving the natural and projectively invariant quantization in [8].

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