Global gauge fixing for connections with small curvature on T2

Takeo Nishinou

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we will construct a global gauge for connections with small curvature on the trivial complex rank 2 bundle on T2. In this gauge the connection matrix A satisfies ∥A∥Cr+1 ≤ const.∥FACr1/2.

Original languageEnglish
Pages (from-to)165-177
Number of pages13
JournalInternational Journal of Mathematics
Volume18
Issue number2
DOIs
Publication statusPublished - 2007 Feb 1

Keywords

  • Connections
  • Gauge fixing
  • Semistable bundles

ASJC Scopus subject areas

  • Mathematics(all)

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