Distinguishing G2-Manifolds

Diarmuid Crowley; Sebastian Goette; Johannes Nordström

doi:10.1007/978-1-0716-0577-6_6

Distinguishing G₂-Manifolds

Diarmuid Crowley, Sebastian Goette, Johannes Nordström

Department of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	English
Title of host publication	Fields Institute Communications
Publisher	Springer US
Pages	143-172
Number of pages	30
DOIs	https://doi.org/10.1007/978-1-0716-0577-6_6
Publication status	E-pub ahead of print - 27 May 2020

Publication series

Name	Fields Institute Communications
Volume	84
ISSN (Print)	1069-5265
ISSN (Electronic)	2194-1564

Keywords

58J28
Primary: 57R20
Secondary: 53C29

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-1-0716-0577-6_6

Link to publication in Scopus

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

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