Instantons on multi-taub-nut spaces I: Asymptotic form and index theorem

Sergey A. Cherkis; Andrés Larraín-Hubach; Mark Stern

doi:10.4310/jdg/1631124166

Instantons on multi-taub-nut spaces I: Asymptotic form and index theorem

Sergey A. Cherkis, Andrés Larraín-Hubach, Mark Stern

Mathematics

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5 Scopus citations

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	https://doi.org/10.4310/jdg/1631124166
State	Published - Sep 2021

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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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.",

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Instantons on multi-taub-nut spaces I: Asymptotic form and index theorem

Abstract

ASJC Scopus subject areas

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