Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem
arXiv:1608.00018 · doi:10.4310/jdg/1631124166
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.
arXiv comment70 pages, LaTeX, Exposition Improved
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