Hitchin fibrations on moduli of irregular Higgs bundles and motivic wall-crossing

Péter Ivanics, András Stipsicz, Szilárd Szabó

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper we give a complete description of the Hitchin fibration on all 2-dimensional moduli spaces of rank-2 irregular Higgs bundles with two poles on the projective line. We describe the dependence of the singular fibers of the fibration on the eigenvalues of the Higgs fields, and describe the corresponding motivic wall-crossing phenomenon in the parameter space of parabolic weights.

Original languageEnglish
Pages (from-to)3989-4064
Number of pages76
JournalJournal of Pure and Applied Algebra
Volume223
Issue number9
DOIs
Publication statusPublished - Sep 2019

Keywords

  • Elliptic fibrations
  • Hitchin fibration
  • Irregular Higgs bundles
  • Wall crossing

ASJC Scopus subject areas

  • Algebra and Number Theory

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