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
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 in questo prodotto:
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Anti-Selfdual Connections on the Quantum Projective Plane. Instantons.pdf
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