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Dirac operators on all Podles quantum spheres

F. D'ANDREA
•
L. DABROWSKI
•
LANDI, GIOVANNI
•
E. WAGNER
2007
  • journal article

Periodico
JOURNAL OF NONCOMMUTATIVE GEOMETRY
Abstract
We construct spectral triples on all Podles ́ quantum 2-spheres. These noncommutative geometries are equivariant for a left action of regular, even and of metric dimension 2. They are all isospectral to the undeformed round geometry of the sphere S2. 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.
WOS
WOS:000255806900002
Archivio
http://hdl.handle.net/11368/1695879
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84888226656
Diritti
metadata only access
Soggetti
  • Noncommutative geomet...

  • spectral triple

  • quantum group

  • quantum spheres

Visualizzazioni
2
Data di acquisizione
Apr 19, 2024
Vedi dettagli
google-scholar
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