Dirac operators on all Podleś quantum spheres
Dirac operators on all Podleś quantum spheres
We construct spectral triples on all Podleś quantum spheres S2qt. These noncommutative geometries are equivariant for a left action of \mathcal{U} q(su(2)) and are 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 …