161 citations · 1.2k across the 36 of their papers we have counts for
37 papers
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…
Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry
Sergey A. Cherkis, Andrés Larraín-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…
Deformations of Instanton Metrics
Roger Bielawski, Yannic Borchard, Sergey A. Cherkis
We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative . Via the generalized Legendre transf…
Construction of Exact Solutions to Nahm's Equations for the Multimonopole
H. W. Braden, Sergey A. Cherkis, Jason M. Quinones
We construct high rank solutions to Nahm's equations for boundary conditions that correspond to the Dirac multimonopole. Here, the spectral curve is explicitly known and we achieve…
Magnetic topology in coupled binaries, spin-orbital resonances, and flares
Sergey A. Cherkis, Maxim Lyutikov
We consider topological configurations of the magnetically coupled spinning stellar binaries (e.g., merging neutron stars or interacting star-planet systems). We discuss conditions…
Instantons on multi-Taub-NUT Spaces II: Bow Construction
Sergey Cherkis, Andrés Larraín-Hubach, Mark Stern
Unitary anti-self-dual connections on Asymptotically Locally Flat (ALF) hyperkähler spaces are constructed in terms of data organized in a bow. Bows generalize quivers, and the rel…