Publications [#374130] of Mark A. Stern

Papers Published

1. Cherkis, SA; Larraín-Hubach, A; Stern, M, Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry, Journal of differential geometry, vol. 132 no. 1 (January, 2026), pp. 1-55, International Press [doi]
   (last updated on 2026/01/16)

   Abstract:
   The index bundle of a family of Dirac operators associated to an instanton on a multi-Taub-NUT space forms a bow representation. We prove that the gauge equivalence classes of solutions of this bow representation are in one-to-one correspondence with the instantons. We also prove that this correspondence establishes an isometry of the bow and instanton moduli spaces.