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TheL 2-metric on the moduli space ofSU(2)-instantons with instanton number 1 over the Euclidean 4-space

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Abstract

TheL 2-metric {ie311-1} on the moduli spaceM 1(Q) of self-dualSU(2)-connections with instanton number 1 over the Euclidean 4-space is described. It is shown that the Riemannian manifold (M 1(Q), {ie311-2}) is isometric to R+ × R4 with the Euclidean metric.

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Authors and Affiliations

  1. Humboldt-Universität Berlin, Unter den Linden 6, D 10099, Berlin, Germany

    Lutz Habermann

  2. Ruhr-Universität Bochum Fakultät und Universität für Mathematik, D 44780, Bochum, Germany

    Lutz Habermann

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  1. Lutz Habermann
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Supported by Deutsche Forschungsgemeinschaft, Sonderforschungsbereich 288

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Habermann, L. TheL 2-metric on the moduli space ofSU(2)-instantons with instanton number 1 over the Euclidean 4-space. Ann Glob Anal Geom 11, 311–322 (1993). https://doi.org/10.1007/BF00773547

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  • DOI: https://doi.org/10.1007/BF00773547

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