Nahm transformation for parabolic Higgs bundles on the projective line --- case of non-semisimple residues

Abstract

We extend our earlier construction of Nahm transformation for parabolic Higgs bundles on the projective line to solutions with not necessarily semisimple residues and show that it determines a holomorphic mapping on corresponding moduli spaces. The construction relies on suitable elementary modifications of the logarithmic Dolbeault complex.

15 pages, submitted to the proceedings of the Warwick EPSRC Symposium: Fourier--Mukai, 34 years on (VBAC 2015)

References in corpus (3)

• Wild Harmonic Bundles and Wild Pure Twistor D-modules
• Algebraic Nahm transform for Parabolic Higgs Bundles on P^1
• The Plancherel theorem for Fourier--Laplace--Nahm transform for connections on the projective line

Cited by in corpus (1)

• Instantons on multi-Taub-NUT Spaces II: Bow Construction