Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature

Abstract

We study the asymptotic behaviour of doubly periodic instantons with square-integrable curvature. Then, we establish the equivalence given by the Nahm transform between the doubly periodic instantons with square integrable curvature and the wild harmonic bundles on the dual torus.

Introduction is expanded. The structure of the paper is changed. Some errors are fixed

References in corpus (3)

• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules
• Kobayashi-Hitchin correspondence for tame harmonic bundles and an application
• A survey on Nahm transform

Cited by in corpus (5)

• Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem
• Doubly periodic monopoles and $q$-difference modules
• Spatially periodic instantons: Nahm transform and moduli
• Kobayashi-Hitchin correspondence for analytically stable bundles
• Holonomic D-modules on abelian varieties