Noncommutative Geometry and Quantum Physics
Vietri sul Mare, August 31 - September 5, 2009
Speaker: Francesco D'Andrea, U.C. Louvain
Title: Geometry of quantum projective spaces: Fredholm modules, K-theory, spectral triples
Abstract: I will review some of the results in [arXiv:0901.4735] and [arXiv:0903.3553] about the geometry of quantum projective spaces. These include: the construction of generators of the K-theory and K-homology groups and the explicit computation of the pairing, the study of SUq(N)-covariant differential calculii, generalized Dirac operators giving both regular and non-regular spectral triples.
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