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arXiv · 2308.02048

Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry

Sergey A. Cherkis·Andrés Larraín-Hubach·Mark Stern
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Abstract

The index bundle of a family of Dirac operators associated to an instanton on a multi-Taub-NUT space forms a bow representation. We prove that the gauge equivalence classes of solutions of this bow representation are in one-to-one correspondence with the instantons. We also prove that this correspondence establishes an isometry of the bow and instanton moduli spaces.

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Sergey A. Cherkis, Andrés Larraín-Hubach, Mark Stern. 2023-08-03. Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry. https://arxiv.org/abs/2308.02048

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