I'm learning Yang-Mills theory and its applications on 4-manifold. I want to know that have someone computed all the anti-self-dual connections on principle $SU(2)$ bundles over complex projective space $CP^2$. Where can I find the original paper if someone has calculated it?

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## **migrated** from meta.mathoverflow.net Jun 30 '13 at 13:53

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The Geometry of Four-Manifoldscomputes the moduli space for small 2nd Chern class (it's empty for $c_2=1$); check the examples in chapter 4. But it's not computed by explicitly writing down connections (compared to the $S^4$ scenario). You should be able to find appropriate references there. – Chris Gerig Jun 30 '13 at 18:26