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Dirac operators on all Podles quantum spheres

Dabrowski, L
•
D'Andrea, F
•
Landi, G
•
Wagner, E
2007
  • journal article

Periodico
JOURNAL OF NONCOMMUTATIVE GEOMETRY
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.
DOI
10.4171/JNCG/5
WOS
WOS:000255806900002
Archivio
http://hdl.handle.net/20.500.11767/16627
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84888226656
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Scopus© citazioni
45
Data di acquisizione
Jun 2, 2022
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Data di acquisizione
Apr 19, 2024
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