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Publications [#361534] of Mark A. Stern

Papers Published

  1. 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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