1 research outputs found
Dirac operators on all Podles quantum spheres
We construct spectral triples on all Podles quantum spheres. These
noncommutative geometries are equivariant for a left action of 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.Comment: 24 pages, no figures; v2: minor correction