Obstructions for twist star products (Q1635792)
From MaRDI portal
 | This is a page for a Wikibase entity. It is used by other Wikibase pages, but it is generally not meant to be viewed directly. See Obstructions for twist star products for the user view. |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Obstructions for twist star products |
scientific article |
Statements
Obstructions for twist star products (English)
0 references
1 June 2018
0 references
This paper studies obstructions for a given star product to be induced by a twist. First, the authors recall the main notions and results about Drinfel'd twist and classical \(r\)-matrix. Then, they prove that not every Poisson structure is induced by a classical \(r\)-matrix. Counterexamples are obtained by symplectic manifolds which are not homogeneous and by higher-genus Pretzel surfaces or by the sphere.
0 references
deformation quantization
0 references
Poisson structure
0 references
twist star products
0 references
\(r\)-matrix
0 references
symplectic Pretzel surfaces
0 references
symplectic spheres
0 references
