Lectures and Surveys on G2-Manifolds and Related Topics

This book provides an accessible introduction to the geometry of G 2 manifolds, including their construction, relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also includes a survey on recently discovered topological and analytic invariants. The first half is aimed at experienced graduate students or early career researchers, while the second half is useful for beginners and experts.

Format: Paperback / softback
Length: 382 pages
Publication date: 28 May 2021
Publisher: Springer-Verlag New York Inc.

This book, one of the first on G 2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G 2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G 2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.

This book, one of the first on G 2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G 2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G 2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.

Weight: 617g
Dimension: 235 x 155 (mm)
ISBN-13: 9781071605790
Edition number: 1st ed. 2020