Conformally invariant quantization -- towards complete classification
| dc.creator | Silhan, Josef | |
| dc.date | 2009-03-27 | |
| dc.date.accessioned | 2026-07-07T12:57:31Z | |
| dc.date.available | 2026-07-07T12:57:31Z | |
| dc.description | Let $M$ be a smooth manifold equipped with a conformal structure, $E[w]$ the space of densities with the the conformal weight $w$ and $D_{w,w+\de}$ the space of differential operators from $E[w]$ to $E[w+δ]$. Conformal quantization $Q$ is a right inverse of the principle symbol map on $D_{w,w+δ}$ such that $Q$ is conformally invariant and exists for all $w$. This is known to exists for generic values of $δ$. We give explicit formulae for $Q$ for all $δ$ out of the set of critical weights. We provide a simple description of this set and conjecture its minimality. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/0903.4798 | |
| dc.identifier | http://arxiv.org/abs/0903.4798 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224957 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A55 (Primary) 53A30, 58J70, 17B56 (Secondary) | |
| dc.title | Conformally invariant quantization -- towards complete classification | |
| dc.type | text |