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Hopf fibration and monopole connection over the contact quantum spheres

Tomasz Brzezinski·Ludwik Dabrowski·Bartosz Zielinski
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Abstract

Noncommutative geometry of quantised contact spheres introduced by Omori, Maeda, Miyazaki and Yoshioka is studied. In particular it is proven that these spheres form a noncommutative Hopf fibration in the sense of Hopf-Galois extensions. The monopole (strong) connection is constructed, and projectors describing projective modules of all monopole charges are computed.

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Tomasz Brzezinski, Ludwik Dabrowski, Bartosz Zielinski. 2003-01-13. Hopf fibration and monopole connection over the contact quantum spheres. https://doi.org/10.1016/j.geomphys.2003.09.009

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