Geometry of Quantum Spheres
arXiv:math/0501240 · doi:10.1016/j.geomphys.2005.04.003
Abstract
Spectral triples on the q-deformed spheres of dimension two and three are reviewed.
23 pages, review
References in corpus (7)
- Noncommutative finite-dimensional manifolds. I. Spherical manifolds and related examples
- The Dirac operator on SU_q(2)
- A Local Index Formula for the Quantum Sphere
- Dirac Operator on the Standard Podles Quantum Sphere
- Local index formula for SU_q(2)
- Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere
- Some Noncommutative Geometric Aspects of SU_q(2)
Cited by in corpus (7)
- Quantum isometry groups of noncommutative manifolds associated to group C*-algebras
- Local Index Formula on the Equatorial Podles Sphere
- Spectral dimensions and dimension spectra of quantum spacetimes
- Equivariant Poincaré duality for quantum group actions
- Quantum Isometry Group for Spectral Triples with Real Structure
- Spectral action on SU_q(2)
- Podleś Spheres for the Braided Quantum