arXiv Analytics

Sign in

arXiv:1303.2394 [math.DG]AbstractReferencesReviewsResources

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

Takuro Mochizuki

Published 2013-03-10, updated 2013-11-04Version 2

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.

Comments: Introduction is expanded. The structure of the paper is changed. Some errors are fixed
Categories: math.DG, math.AG
Subjects: 53C07, 14J60
Related articles: Most relevant | Search more
arXiv:0803.1344 [math.DG] (Published 2008-03-10, updated 2010-07-04)
Wild Harmonic Bundles and Wild Pure Twistor D-modules
arXiv:1902.08298 [math.DG] (Published 2019-02-21)
Good wild harmonic bundles and good filtered Higgs bundles
arXiv:0705.2412 [math.DG] (Published 2007-05-16)
The Nahm transform for calorons