The Hitchin-Kobayashi correspondence for twisted triples

Steven B. Bradlow, Franz W. Kamber, James F. Glazebrook

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce the twisted coupled vortex equations defined over a closed Kähler manifold X. There is an associated notion of stability for certain triples of holomorphic data on X. We establish a Hitchin-Kobayashi correspondence which relates the existence of solutions to these equations and the stability of a corresponding triple.

Original languageEnglish (US)
Pages (from-to)493-508
Number of pages16
JournalInternational Journal of Mathematics
Volume11
Issue number4
DOIs
StatePublished - Jun 2000

Keywords

  • Donaldson functional
  • Hermitian Einstein equation
  • Hitchin Kobayashi correspondence
  • Stability
  • Twisted coupled vortex equations

ASJC Scopus subject areas

  • Mathematics(all)

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