@article {2001,
title = {Instantons on the Quantum 4-Spheres S^4_q},
journal = {Comm. Math. Phys. 221 (2001) 161-168},
number = {arXiv.org;math/0012103v2},
year = {2001},
publisher = {Springer},
abstract = {We introduce noncommutative algebras $A_q$ of quantum 4-spheres $S^4_q$, with $q\\\\in\\\\IR$, defined via a suspension of the quantum group $SU_q(2)$, and a quantum instanton bundle described by a selfadjoint idempotent $e\\\\in \\\\Mat_4(A_q)$, $e^2=e=e^*$. Contrary to what happens for the classical case or for the noncommutative instanton constructed in Connes-Landi, the first Chern-Connes class $ch_1(e)$ does not vanish thus signaling a dimension drop. The second Chern-Connes class $ch_2(e)$ does not vanish as well and the couple $(ch_1(e), ch_2(e))$ defines a cycle in the $(b,B)$ bicomplex of cyclic homology.},
doi = {10.1007/PL00005572},
url = {http://hdl.handle.net/1963/3135},
author = {Ludwik Dabrowski and Giovanni Landi and Tetsuya Masuda}
}