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arXiv · 1608.00018

Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem

Sergey A. Cherkis·Andres Larrain-Hubach·Mark Stern
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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.

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Sergey A. Cherkis, Andres Larrain-Hubach, Mark Stern. 2016-07-29. Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem. https://doi.org/10.4310/jdg%2F1631124166

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