Instantons on multi-Taub-NUT Spaces II: Bow Construction
Publication
, Journal Article
Cherkis, S; Larraín-Hubach, A; Stern, M
Published in: Journal of Differential Geometry
Unitary anti-self-dual connections on Asymptotically Locally Flat (ALF) hyperk\"ahler spaces are constructed in terms of data organized in a bow. Bows generalize quivers, and the relevant bow gives rise to the underlying ALF space as the moduli space of its particular representation -- the small representation. Any other representation of that bow gives rise to anti-self-dual connections on that ALF space. We prove that each resulting connection has finite action, i.e. it is an instanton. Moreover, we derive the asymptotic form of such a connection and compute its topological class.
Duke Scholars
Published In
Journal of Differential Geometry
ISSN
0022-040X
Publisher
International Press
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Cherkis, S., Larraín-Hubach, A., & Stern, M. (n.d.). Instantons on multi-Taub-NUT Spaces II: Bow Construction (Accepted). Journal of Differential Geometry.
Cherkis, Sergey, Andrés Larraín-Hubach, and Mark Stern. “Instantons on multi-Taub-NUT Spaces II: Bow Construction (Accepted).” Journal of Differential Geometry, n.d.
Cherkis S, Larraín-Hubach A, Stern M. Instantons on multi-Taub-NUT Spaces II: Bow Construction (Accepted). Journal of Differential Geometry.
Cherkis, Sergey, et al. “Instantons on multi-Taub-NUT Spaces II: Bow Construction (Accepted).” Journal of Differential Geometry, International Press.
Cherkis S, Larraín-Hubach A, Stern M. Instantons on multi-Taub-NUT Spaces II: Bow Construction (Accepted). Journal of Differential Geometry. International Press;
Published In
Journal of Differential Geometry
ISSN
0022-040X
Publisher
International Press
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics