We study one-instantons, that is anti-selfdual connections with instanton number 1 on the quantum projective plane $\CP^2_q$ 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 leaf being isomorphic to he quantum projective plane itself.
Anti-Selfdual Connections on the Quantum Projective Plane: Instantons / D'Andrea, Francesco; Landi, Giovanni. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 333:1(2015), pp. 505-540. [10.1007/s00220-014-2192-9]
Anti-Selfdual Connections on the Quantum Projective Plane: Instantons
D'ANDREA, FRANCESCO;LANDI, GIOVANNI
2015-01-01
Abstract
We study one-instantons, that is anti-selfdual connections with instanton number 1 on the quantum projective plane $\CP^2_q$ 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 leaf being isomorphic to he quantum projective plane itself.| File | Dimensione | Formato | |
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