Hopf fibration and monopole connection over the contact quantum spheres
Brzezinski, Tomasz ; Dabrowski, Ludwik ; Zielinski, Bartosz
arXiv, 0301123 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-01-13
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  Primary 58B34,  Secondary 17B37 
@article{0301123,
     author = {Brzezinski, Tomasz and Dabrowski, Ludwik and Zielinski, Bartosz},
     title = {Hopf fibration and monopole connection over the contact quantum spheres},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301123}
}

Brzezinski, Tomasz; Dabrowski, Ludwik; Zielinski, Bartosz. Hopf fibration and monopole connection over the contact quantum spheres. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301123/