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.
2007
1
213
239
Dabrowski, L; D'Andrea, F; Landi, G; Wagner, E
File in questo prodotto:
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.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16627
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 48
  • ???jsp.display-item.citation.isi??? 47
social impact