Two-dimensional moduli spaces of rank 2 Higgs bundles over CP1 with one irregular singular point

Péter Ivanics, A. Stipsicz, Szilárd Szabó

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We give a complete description of the two-dimensional moduli spaces of stable Higgs bundles of rank 2 over CP1 with one irregular singular point, having a regular leading-order term, and endowed with a generic compatible parabolic structure such that the parabolic degree of the Higgs bundle is 0. Our method relies on elliptic fibrations of the rational elliptic surface, an equivalence of categories between irregular Higgs bundles and some sheaves on a ruled surface, and an analysis of stability conditions.

Original languageEnglish
Pages (from-to)184-212
Number of pages29
JournalJournal of Geometry and Physics
Volume130
DOIs
Publication statusPublished - Aug 1 2018

Fingerprint

Higgs Bundles
Singular Point
Moduli Space
bundles
Irregular
Elliptic Fibration
Stable Bundle
Elliptic Surfaces
Ruled Surface
Rational Surface
Sheaves
Stability Condition
equivalence
Equivalence
Term

Keywords

  • Elliptic fibration
  • Irregular Higgs bundle
  • Singular fiber
  • Torsion-free sheaf

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

Cite this

Two-dimensional moduli spaces of rank 2 Higgs bundles over CP1 with one irregular singular point. / Ivanics, Péter; Stipsicz, A.; Szabó, Szilárd.

In: Journal of Geometry and Physics, Vol. 130, 01.08.2018, p. 184-212.

Research output: Contribution to journalArticle

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