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

2023/08/03 by Cherkis, Sergey A., Larraín-Hubach, Andrés, Stern, Mark · 1 citation
#53C26 #53D20 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2308.02048

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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