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    • 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.


    Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/1695879

    Titolo: Dirac operators on all Podles quantum spheres
    Autori interni: LANDI, GIOVANNI
    Data di pubblicazione: 2007
    Rivista: 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.
    Handle: http://hdl.handle.net/11368/1695879
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