Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 29

The L2-Metric on the Moduli Space of SU(2)-Instantons with Instanton Number 1 over the Euclidean 4-Space

L. Habermann

The L^{2}-metric widehat{g_{0}} on the moduli space M_1 (Q) of self-dual SU(2)-connections with instanton number 1 over the Euclidean 4-space is described. It is shown that the Riemannian manifold M_1 (Q), widehat{g_{0}}) is isometric to R^{+} x R^{4} with the Euclidean metric.

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