The homotopy types of G2-gauge groups

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11 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 - Sept 1 2017

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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