The birational geometry of irregular Higgs bundles

2015/02/06 by Szilárd Szabó, Szabó, Szilárd · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1502.02003

Abstract

We give a variant of the Beauville--Narasimhan--Ramanan correspondence for irregular parabolic Higgs bundles with semi-simple irregular part and show that it defines a Poisson isomorphism between certain irregular Dolbeault moduli spaces of a curve and relative Picard bundles of families of ruled surfaces over a curve.

Citations

• Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and Mirror Symmetry

Cited by

• Nahm transformation for parabolic integrable connections on the\n projective line -- case of generic regular graded residues

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