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

Understand

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.