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arxiv: 1305.1246 · v2 · pith:NW7BOMTBnew · submitted 2013-05-06 · 🧮 math.QA · hep-th· math-ph· math.MP

Anti-selfdual Connections On The Quantum Projective Plane: Instantons

classification 🧮 math.QA hep-thmath-phmath.MP
keywords planeprojectivequantumanti-selfdualconnectionsorientationbasisbimodule
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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.

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