English

An explicit formula for the natural and conformally invariant quantization

Differential Geometry 2015-05-13 v1

Abstract

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].

Keywords

Cite

@article{arxiv.0902.1543,
  title  = {An explicit formula for the natural and conformally invariant quantization},
  author = {F. Radoux},
  journal= {arXiv preprint arXiv:0902.1543},
  year   = {2015}
}

Comments

12 pages

R2 v1 2026-06-21T12:09:32.159Z