Conformally invariant quantization ? towards the complete classification.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00073573" target="_blank" >RIV/00216224:14310/14:00073573 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.difgeo.2013.10.016" target="_blank" >http://dx.doi.org/10.1016/j.difgeo.2013.10.016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.difgeo.2013.10.016" target="_blank" >10.1016/j.difgeo.2013.10.016</a>

Result language
angličtina
Original language name
Conformally invariant quantization ? towards the complete classification.
Original language 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 $D_{w,w+d}$ the space of differential operators from $E[w]$ to $E[w+d]$. Conformal quantization $Q$ is a right inverse of the principle symbol map on $D_{w,w+d}$ such that $Q$ is conformally invariant and exists for all $w$. This is known to exists for generic values of $d$. We give explicit formulae for $Q$ for all $d$ out of the set of critical weights. We provide a simple description of this set and conjecture its minimality.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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