A Remark on Topological Charges over the Fuzzy Sphere
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
We determine the Chern characters of two projective modules over the fuzzy sphere and calculate the corresponding topological charges (Chern numbers). These turn out to have corrections - compared to the commutative limit - induced by the noncommutative structure of the three coordinates.
Cite
@article{arxiv.math-ph/0103003,
title = {A Remark on Topological Charges over the Fuzzy Sphere},
author = {Harald Grosse and Christian W. Rupp},
journal= {arXiv preprint arXiv:math-ph/0103003},
year = {2007}
}
Comments
Latex2e, 7 pages. Errors corrected, section 4.1 withdrawn and title changed. A more complete treatment will appear in a forthcoming paper