The homotopy types of G2-gauge groups

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    13 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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