Lectures and Surveys on G2-Manifolds and Related Topics

This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute inAugust 2017, as part of the major thematic program on geometric analysis. It provides an accessibleintroduction to various aspects of thegeometry ofG2manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also featuresthe inclusion of a survey on the new topological and analytic invariants ofG2manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experiencedgraduate students or early career researchers in geometry and topology who wish to familiarizethemselves with this burgeoning field. The second half, consisting of numerous survey articles, isintended to be useful to both beginners and experts in the field.