A family of metrics on the moduli space of \(\mathbb{C} P^ 2\) instantons. (English) Zbl 0777.53038
A family of Riemannian metrics of the moduli space of irreducible selfdual connections of instanton number \(k=1\) over the complex projective plane is considered. The author finds explicit formulas for these metrics and defines conclusions concerning with geometry of the instanton space.
Reviewer: V.K.Vedernikov (Moskva)
MSC:
| 53C20 | Global Riemannian geometry, including pinching |
| 14D20 | Algebraic moduli problems, moduli of vector bundles |
| 58D27 | Moduli problems for differential geometric structures |
References:
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