TY - JOUR
T1 - Monopole bundles over fuzzy complex projective spaces
AU - Carow-Watamura, Ursula
AU - Steinacker, Harold
AU - Watamura, Satoshi
N1 - Funding Information:
The authors would like to thank J. Madore, G. Landi and B. Jurčo for discussions. S.W. would also like to thank J. Wess and B. Jurčo for their hospitality at München University, where part of this work was performed. H.S. also thanks H. Grosse for discussions, and the organizers of the ’International Workshop on Noncommutative Geometry and Physics’ at Keio University 2004 for an invitation, where part of this work was performed. This research is partly supported by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology, Japan no. 13640256.
PY - 2005/8
Y1 - 2005/8
N2 - We give a construction of the monopole bundles over fuzzy complex projective spaces as projective modules. The corresponding Chern classes are calculated. They reduce to the monopole charges in the N → ∞ limit, where N labels the representation of the fuzzy algebra.
AB - We give a construction of the monopole bundles over fuzzy complex projective spaces as projective modules. The corresponding Chern classes are calculated. They reduce to the monopole charges in the N → ∞ limit, where N labels the representation of the fuzzy algebra.
KW - Fuzzy complex projective space
KW - Line bundle
KW - Monopoles
KW - Noncommutative geometry
KW - Projective module
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U2 - 10.1016/j.geomphys.2004.11.001
DO - 10.1016/j.geomphys.2004.11.001
M3 - Article
AN - SCOPUS:19044397492
VL - 54
SP - 373
EP - 399
JO - Journal of Geometry and Physics
JF - Journal of Geometry and Physics
SN - 0393-0440
IS - 4
ER -