We construct spectral triples on all Podles quantum spheres. These noncommutative geometries are equivariant for a left action of Uq(su(2)) and are regular, even and of metric dimension 2. They are all isospectral to the undeformed round geometry of the 2-sphere. There is also an equivariant real structure for which both the commutant property and the first order condition for the Dirac operators are valid up to infinitesimals of arbitrary order.
Dirac operators on all Podles quantum spheres / Dabrowski, L; D'Andrea, F; Landi, G; Wagner, E. - In: JOURNAL OF NONCOMMUTATIVE GEOMETRY. - ISSN 1661-6952. - 1:(2007), pp. 213-239. [10.4171/JNCG/5]
Dirac operators on all Podles quantum spheres
Dabrowski, L;
2007-01-01
Abstract
We construct spectral triples on all Podles quantum spheres. These noncommutative geometries are equivariant for a left action of Uq(su(2)) and are regular, even and of metric dimension 2. They are all isospectral to the undeformed round geometry of the 2-sphere. There is also an equivariant real structure for which both the commutant property and the first order condition for the Dirac operators are valid up to infinitesimals of arbitrary order.| File | Dimensione | Formato | |
|---|---|---|---|
|
JNG1.pdf
non disponibili
Licenza:
Non specificato
Dimensione
270.72 kB
Formato
Adobe PDF
|
270.72 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
