Projective module description of the q-monopole
摘要
The Dirac q-monopole connection is used to compute projector matrices of quantum Hopf line bundles for arbitrary winding number. The Chern-Connes pairing of cyclic cohomology and K-theory is computed for the winding number -1. The non-triviality of this pairing is used to conclude that the quantum principal Hopf fibration is non-cleft. Among general results, we provide a left-right symmetric characterization of the canonical strong connections on quantum principal homogeneous spaces with an injective antipode. We also provide for arbitrary strong connections on algebraic quantum principal bundles (Hopf-Galois extensions) their associated covariant derivatives on projective modules.
引用
@article{arxiv.math/9803003,
title = {Projective module description of the q-monopole},
author = {P. M. Hajac and S. Majid},
journal= {arXiv preprint arXiv:math/9803003},
year = {2009}
}
备注
AMS-LaTeX 18 pages, no figures, correction of the Chern-number-sign-change Comments, 6 pages of new contents added