2 papers
math.DG2026
The Asymptotic Structure of Monopoles in R^3, Calorons, and ALF Instantons
Sergey A. Cherkis, Mark Stern
We study the asymptotic structure of instantons on multi-centered Taub-NUT manifolds, calorons, and monopoles on R^3. We show that, without any assumptions on symmetry breaking, th…
math.DG2025
Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry
Sergey A. Cherkis, Andrés LarraÃn-Hubach, Mark Stern
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 solu…