Finiteness of A n-equivalence types of gauge groups

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Let B be a finite CW complex and G be a compact connected Lie group. We show that the number of gauge groups of principal G-bundles over B is finite up to A n-equivalence for n < ∞. As an example, we give a lower bound of the number of A n-equivalence types of gauge groups of principal SU(2)-bundles overS 4.

Original languageEnglish
Pages (from-to)142-164
Number of pages23
JournalJournal of the London Mathematical Society
Volume85
Issue number1
DOIs
Publication statusPublished - Feb 1 2012
Externally publishedYes

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Gauge Group
Finiteness
Bundle
Equivalence
CW-complex
Analytic group
Lower bound

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Finiteness of A n-equivalence types of gauge groups. / Tsutaya, Mitsunobu.

In: Journal of the London Mathematical Society, Vol. 85, No. 1, 01.02.2012, p. 142-164.

Research output: Contribution to journalArticle

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