Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry
Differential Geometry
2025-01-09 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.2308.02048,
title = {Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry},
author = {Sergey A. Cherkis and Andrés Larraín-Hubach and Mark Stern},
journal= {arXiv preprint arXiv:2308.02048},
year = {2025}
}
Comments
Minor corrections, 54 page, 1 figure