Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem
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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https://hdl.handle.net/10161/24071Published Version (Please cite this version)
10.4310/jdg/1631124166Publication Info
(2019). Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem. Journal of Differential Geometry, 119(1). pp. 1-72. 10.4310/jdg/1631124166. Retrieved from https://hdl.handle.net/10161/24071.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Mark A. Stern
Professor of Mathematics
The focus of Professor Stern's research is the study of analytic problems arising
in geometry, topology, physics, and number theory.
In recent work, Professor Stern has studied analytical, geometric, and topological
questions arising from Yang-Mills theory, Hodge theory, and number theory. These have
led for example to a study of (i) stability questions arising in Yang Mills theory
and harmonic maps, (ii) energy minimizing connections and instantons, (iii) new bounds
for e
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