Compactification of the moduli spaces of vortices and coupled vortices

Gang Tian, Baozhong Yang

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Vortices and coupled vortices arise from Yang-Mills-Higgs theories and can be viewed as generalizations or analogues to Yang-Mills connections and, in particular, Hermitian-Yang-Mills connections. We proved an analytic compactification of the moduli spaces of vortices and coupled vortices on hermitian vector bundles over compact Kähler manifolds. In doing so we introduced the concept of ideal coupled vortices and characterized the singularities of ideal coupled vortices as well as Hermitian-Yang-Mills connections.

Original languageEnglish (US)
Pages (from-to)17-41
Number of pages25
JournalJournal fur die Reine und Angewandte Mathematik
Issue number553
DOIs
StatePublished - Jan 1 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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