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

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arxiv 2308.02048 v2 pith:HVQO3QZS submitted 2023-08-03 math.DG hep-th

Sergey A. Cherkis , Andrés Larraín-Hubach , Mark Stern This is my paper · ORCID
classification math.DGhep-th
keywords correspondenceinstantoninstantonsisometrymulti-taub-nutproverepresentationspaces
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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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Cited by 1 Pith paper

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  1. Obstructions to Spin(7) Nahm transforms on tori

    math.DG 2026-07 accept novelty 7.0 of 10

    Spin(7) Nahm transforms on 8-tori lack generic vanishing, and asymptotic holonomy of highly twisted instantons need not be Spin(7).

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