Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem
Differential Geometry
2021-10-05 v2 High Energy Physics - Theory
Abstract
We study finite action anti-self-dual Yang-Mills connections on the multi-Taub-NUT space. We establish the curvature and the harmonic spinors decay rates and compute the index of the associated Dirac operator. This is the first in a series of papers proving the completeness of the bow construction of instantons on multi-Taub-NUT spaces and exploring it in detail.
Keywords
Cite
@article{arxiv.1608.00018,
title = {Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem},
author = {Sergey A. Cherkis and Andres Larrain-Hubach and Mark Stern},
journal= {arXiv preprint arXiv:1608.00018},
year = {2021}
}
Comments
70 pages, LaTeX, Exposition Improved