Splitting of gauge groups

Daisuke Kishimoto, Akira Kono

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Let G be a topological group and let P be a principal G-bundle over a based space B. We denote the gauge group of P by G(P) and the based gauge group of P by G0(P). Then the inclusion of the basepoint of B induces the exact sequence of topological groups 1 → G0(P) → G(P) → G → 1. We study the splitting of this exact sequence in the category of An-spaces and An-maps in connection with the triviality of the adjoint bundle of P and with the higher homotopy commutativity of G.

Original languageEnglish
Pages (from-to)6715-6731
Number of pages17
JournalTransactions of the American Mathematical Society
Volume362
Issue number12
DOIs
Publication statusPublished - Dec 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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