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 or section in a book/report/conference proceeding › Chapter in a published conference proceeding

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	Lectures and Surveys on G2-manifolds and related topics
Editors	Spiro Karigiannis, Conan Leung, Jason Lotay
Publisher	Springer
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

Cite this

Distinguishing G2-manifolds. / Crowley, Diarmuid; Goette, Sebastian; Nordström, Johannes.
Lectures and Surveys on G2-manifolds and related topics. ed. / Spiro Karigiannis; Conan Leung; Jason Lotay. Springer, 2020. p. 143-172 (Fields Institute Communications; Vol. 84).

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

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Distinguishing G2-manifolds

Abstract

Publication series

Keywords

ASJC Scopus subject areas

Access to Document

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