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math.QA2003
Chern numbers for two families of noncommutative Hopf fibrations
Piotr M. Hajac, Rainer Matthes, Wojciech Szymanski
We consider noncommutative line bundles associated with the Hopf fibrations of SUq(2) over all Podles spheres and with a locally trivial Hopf fibration of S^3_{pq}. These bundles a…
math.QA2000
Quantum Real Projective Space, Disc and Sphere
Piotr M. Hajac, Rainer Matthes, Wojciech Szymanski
We define the -algebra of quantum real projective space , classify its irreducible representations and compute its -theory. We also show that the -disc of Klim…
math.QA1998
Frame, cotangent and tangent bundles of the quantum plane
P. M. Hajac, R. Matthes
We construct a quantum frame bundle of the quantum plane by requiring that a -covariant differential calculus on be isomorphic as a bimodule to the spa…