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 - Funding Information:
Acknowledgments. We thank the anonymous referee for his or her numerous suggestions for improving our exposition. SCh is grateful to the Institute for Advanced Study, Princeton and to the Institute des Hautes Études Scientifiques for their hospitality and support during various stages of this work; he also thanks the Berkeley Center for Theoretical Physics for hospitality during its completion. The work of SCh was partially supported by the Simons Foundation grant #245643. The work of MS was partially supported by the Simons Foundation grant #353857 and NSF grant DMS 1005761. The work of ALH was supported by an NSF Alliance Postdoctoral Fellowship.
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
VL - 119
SP - 1
EP - 72
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
SN - 0022-040X
IS - 1
ER -