Math @ Duke
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Publications [#361534] of Mark A. Stern
Papers Published
- Cherkis, S; LarraĆn-Hubach, A; Stern, M, Instantons on multi-Taub-NUT Spaces II: Bow Construction,
Journal of Differential Geometry
(March, 2021), International Press
(last updated on 2024/03/28)
Abstract: 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.
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dept@math.duke.edu
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Mathematics Department
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