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

Mochizuki, Takuro¹

¹ Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan

Geometry & topology, Tome 18 (2014) no. 5, pp. 2823-2949.

Résumé

We study the asymptotic behaviour of doubly periodic instantons with square-integrable curvature. Then we establish an equivalence given by the Nahm transform between the doubly periodic instantons with square integrable curvature and wild harmonic bundles on the dual torus. We also introduce algebraic Nahm transforms, which describe the transformations of the underlying filtered objects.

Détail

DOI : 10.2140/gt.2014.18.2823

Classification : 53C07, 14J60
Keywords: instanton, asymptotic behaviour, Nahm transform, harmonic bundle

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