TY - JOUR
T1 - Dirac operators on all Podles quantum spheres
JF - J. Noncomm. Geom. 1 (2007) 213-239
Y1 - 2007
A1 - Francesco D\'Andrea
A1 - Ludwik Dabrowski
A1 - Giovanni Landi
A1 - Elmar Wagner
AB - We construct spectral triples on all Podles quantum spheres. These noncommutative geometries are equivariant for a left action of $U_q(su(2))$ 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.
UR - http://hdl.handle.net/1963/2177
U1 - 2067
U2 - Mathematics
U3 - Mathematical Physics
ER -