Skip to main content

Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem

Publication ,  Journal Article
Cherkis, SA; Larrain-Hubach, A; Stern, M
Published in: Journal of Differential Geometry
December 9, 2021

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.

Duke Scholars

Published In

Journal of Differential Geometry

ISSN

0022-040X

Publication Date

December 9, 2021

Volume

119

Issue

1

Start / End Page

1 / 72

Publisher

International Press

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Cherkis, S. A., Larrain-Hubach, A., & Stern, M. (2021). Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem. Journal of Differential Geometry, 119(1), 1–72.
Cherkis, Sergey A., Andres Larrain-Hubach, and Mark Stern. “Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem.” Journal of Differential Geometry 119, no. 1 (December 9, 2021): 1–72.
Cherkis SA, Larrain-Hubach A, Stern M. Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem. Journal of Differential Geometry. 2021 Dec 9;119(1):1–72.
Cherkis, Sergey A., et al. “Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem.” Journal of Differential Geometry, vol. 119, no. 1, International Press, Dec. 2021, pp. 1–72.
Cherkis SA, Larrain-Hubach A, Stern M. Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem. Journal of Differential Geometry. International Press; 2021 Dec 9;119(1):1–72.

Published In

Journal of Differential Geometry

ISSN

0022-040X

Publication Date

December 9, 2021

Volume

119

Issue

1

Start / End Page

1 / 72

Publisher

International Press

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics