Anti-selfdual Connections On The Quantum Projective Plane: Instantons
arXiv:1305.1246 · doi:10.1007/s00220-014-2192-9
Abstract
We study one-instantons, that is anti-selfdual connections with instanton number 1, on the quantum projective plane with orientation which is reversed with respect to the usual one. The orientation is fixed by a suitable choice of a basis element for the rank 1 free bimodule of top forms. The noncommutative family of solutions is foliated, each non-singular leaves being isomorphic to the quantum projective plane itself.
35 pages, no figures; v2: minor changes