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Invariant Sp(1)-instantons on S 2 × S 2

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Abstract

In this paper all (anti)self-dual invariant connections on homogeneous quaternionic line bundles over S 2 × S 2 are calculated and described in terms of the isotropy homomorphism of the bundle using Wang's theorem. These are the canonical connections on bundles with an ‘(anti)symmetric twist’ and an S 1-parametrized family of flat structures on bundles with a ‘simple twist’.

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References

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  1. Gatzenstr. 49, 4150, Krefeld, F.R.G.

    Frank R. Unger

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  1. Frank R. Unger
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Unger, F.R. Invariant Sp(1)-instantons on S 2 × S 2 . Geom Dedicata 23, 365–368 (1987). https://doi.org/10.1007/BF00181319

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  • DOI: https://doi.org/10.1007/BF00181319

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