TY - JOUR
T1 - Instantons on multi-taub-nut spaces I
T2 - Asymptotic form and index theorem
AU - Cherkis, Sergey A.
AU - Larraín-Hubach, Andrés
AU - Stern, Mark
N1 - Publisher Copyright:
© 2021 International Press of Boston, Inc.. All rights reserved.
PY - 2021/9
Y1 - 2021/9
N2 - 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.
AB - 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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U2 - 10.4310/jdg/1631124166
DO - 10.4310/jdg/1631124166
M3 - Article
AN - SCOPUS:85115925187
SN - 0022-040X
VL - 119
SP - 1
EP - 72
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
IS - 1
ER -