Distinguishing G2-Manifolds

Diarmuid Crowley, Sebastian Goette, Johannes Nordström

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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 publicationFields Institute Communications
PublisherSpringer US
Pages143-172
Number of pages30
DOIs
Publication statusE-pub ahead of print - 27 May 2020

Publication series

NameFields Institute Communications
Volume84
ISSN (Print)1069-5265
ISSN (Electronic)2194-1564

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Crowley, D., Goette, S., & Nordström, J. (2020). Distinguishing G2-Manifolds. In Fields Institute Communications (pp. 143-172). (Fields Institute Communications; Vol. 84). Springer US. https://doi.org/10.1007/978-1-0716-0577-6_6