Nahm Transform for Higgs bundles

Abstract

We construct the Nahm transform for Higgs bundles over a Riemann surface of genus at least 2 as hyperholomorphic connections on the total space of the tangent bundle of its dual Jacobian.

16 pages. To apperar in J. Geom. Phys

References in corpus (6)

• A survey on Nahm transform
• Nahm transform for doubly-periodic instantons
• Spectral curves and Nahm transform for doubly-periodic instantons
• Construction of doubly-periodic instantons
• Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves
• Hyperkähler Nahm transform

Cited by in corpus (4)

• Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature
• Spatially periodic instantons: Nahm transform and moduli
• Mirror symmetry for Nahm branes
• Geometry of Solutions of Hitchin Equations on R^2