The Noncommutative Geometry of the Quantum Projective Plane
| dc.creator | D'Andrea, Francesco | |
| dc.creator | Dabrowski, Ludwik | |
| dc.creator | Landi, Giovanni | |
| dc.date | 2007-12-20 | |
| dc.date | 2008-09-08 | |
| dc.date.accessioned | 2026-07-07T12:14:00Z | |
| dc.date.available | 2026-07-07T12:14:00Z | |
| dc.description | We study the spectral geometry of the quantum projective plane CP^2_q, a deformation of the complex projective plane CP^2, the simplest example of a spin^c manifold which is not spin. In particular, we construct a Dirac operator D which gives a 0^+ summable spectral triple, equivariant under U_q(su(3)). The square of D is a central element for which left and right actions on spinors coincide, a fact that is exploited to compute explicitly its spectrum. | |
| dc.description | v2: 26 pages. Paper completely reorganized; no major change, several minor ones | |
| dc.identifier | https://arxiv.org/abs/0712.3401 | |
| dc.identifier | http://arxiv.org/abs/0712.3401 | |
| dc.identifier | Rev.Math.Phys.20:979-1006,2008 | |
| dc.identifier | doi:10.1142/S0129055X08003493 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211047 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 58B34, 17B37 | |
| dc.title | The Noncommutative Geometry of the Quantum Projective Plane | |
| dc.type | text |