The homotopy types of G2-gauge groups

Daisuke Kishimoto, Stephen Theriault, Mitsunobu Tsutaya

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The equivalence class of a principal G2-bundle over S4 is classified by the value k∈Z of the second Chern class. In this paper we consider the homotopy types of the corresponding gauge groups Gk, and determine the number of homotopy types up to one factor of 2.

Original languageEnglish
Pages (from-to)92-107
Number of pages16
JournalTopology and its Applications
Volume228
DOIs
Publication statusPublished - Sep 1 2017

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Homotopy Type
Gauge Group
Chern Classes
Principal Bundle
Equivalence class

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

The homotopy types of G2-gauge groups. / Kishimoto, Daisuke; Theriault, Stephen; Tsutaya, Mitsunobu.

In: Topology and its Applications, Vol. 228, 01.09.2017, p. 92-107.

Research output: Contribution to journalArticle

Kishimoto, Daisuke ; Theriault, Stephen ; Tsutaya, Mitsunobu. / The homotopy types of G2-gauge groups. In: Topology and its Applications. 2017 ; Vol. 228. pp. 92-107.
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