The Structure of Noncommutative Deformations
| dc.creator | Hawkins, Eli | |
| dc.date | 2005-04-12 | |
| dc.date | 2006-07-13 | |
| dc.date.accessioned | 2026-07-07T06:39:46Z | |
| dc.date.available | 2026-07-07T06:39:46Z | |
| dc.description | Noncommutatively deformed geometries, such as the noncommutative torus, do not exist generically. I showed in a previous paper that the existence of such a deformation implies compatibility conditions between the classical metric and the Poisson bivector (which characterizes the noncommutativity). Here I present another necessary condition: the vanishing of a certain rank 5 tensor. In the case of a compact Riemannian manifold, I use these conditions to prove that the Poisson bivector can be constructed locally from commuting Killing vectors. | |
| dc.description | 36 pages, 1 figure. Expands upon my earlier paper math.QA/0211203 | |
| dc.identifier | https://arxiv.org/abs/math/0504232 | |
| dc.identifier | http://arxiv.org/abs/math/0504232 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101198 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 58B34; 46L65; 53D17 | |
| dc.title | The Structure of Noncommutative Deformations | |
| dc.type | text |