Distinguishing G2-manifolds

Diarmuid Crowley, Sebastian Goette, Johannes Nordström

Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding

1 Citation (SciVal)


In this survey, we describe invariants that can be used to distinguish connected components of the moduli space of holonomy G2 metrics on a closed 7-manifold, or to distinguish -manifolds that are homeomorphic but not diffeomorphic. We also describe the twisted connected sum and extra-twisted connected sum constructions used to realise G2-manifolds for which the above invariants differ.

Original languageEnglish
Title of host publicationLectures and Surveys on G2-manifolds and related topics
EditorsSpiro Karigiannis, Conan Leung, Jason Lotay
Number of pages30
Publication statusE-pub ahead of print - 27 May 2020

Publication series

NameFields Institute Communications
ISSN (Print)1069-5265
ISSN (Electronic)2194-1564


  • 58J28
  • Primary: 57R20
  • Secondary: 53C29

ASJC Scopus subject areas

  • General Mathematics


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