Abstract
We study finite action anti-self-dual Yang-Mills connections on the multi-Taub-NUT space. Under a technical assumption of generic asymptotic holonomy, we establish the curvature and the harmonic spinor 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-72 |
| Number of pages | 72 |
| Journal | Journal of Differential Geometry |
| Volume | 119 |
| Issue number | 1 |
| DOIs | |
| State | Published - Sep 2021 |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology