2018/04/16 by Masaki Yoshino, Yoshino, Masaki
Mathematics · Physics and Astronomy · #53C07 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1804.05565
openalex publication_date 2018/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct the Nahm transform from finite energy instantons on the product of a real line and a three dimensional torus to Dirac-type singular monopoles on the dual torus. Moreover, we show the correspondence between the data which handle the asymptotic behavior of instantons at infinity and one of monopoles at singular points.