Dirac operator are the central ingredient of Alain Connes’ approach to noncommutative Spin manifolds (via formalism of spectral triples). Examples of Dirac operators on quantum groups and on quantum homogeneous spaces are very important examples.
Ulrich Krähmer, Dirac operators on quantum flag manifolds, Lett. Math. Phys. 67/1 (2004) 49-59, doi, pdf, MR2005b:58009
Antti J. Harju, Covariant Dirac operators on quantum groups, arxiv/1009.3913
Created on September 22, 2010 at 14:45:46. See the history of this page for a list of all contributions to it.