Mathematics – Differential Geometry
Scientific paper
2009-04-21
Adv. Math. 224 (2010) 1717-1734
Mathematics
Differential Geometry
19 pages, no figures
Scientific paper
10.1016/j.aim.2010.01.016
We construct an explicit scheme to associate to any potential symbol an operator acting between sections of natural bundles (associated to irreducible representations) for a so-called AHS-structure. Outside of a finite set of critical (or resonant) weights, this procedure gives rise to a quantization, which is intrinsic to this geometric structure. In particular, this provides projectively and conformally equivariant quantizations for arbitrary symbols on general (curved) projective and conformal structures.
Cap Andreas
Silhan Josef
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