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 in August 2017, as part of the major thematic program on geometric

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Spiro Karigiannis Naichung Conan Leung Jason D. Lotay Editors

Lectures and Surveys on G2-Manifolds and Related Topics

Fields Institute Communications Volume 84

Editorial Board James G. Arthur, Department of Mathematics, University of Toronto, Toronto, ON, Canada Kenneth R. Davidson, Pure Mathematics Department, University of Waterloo, Waterloo, ON, Canada Huaxiong Huang, Deputy Director of the Fields Institute, Toronto, ON, Canada Ian Hambleton, Director of the Fields Institute, Hamilton, ON, Canada Lisa C. Jeffrey, Mathematics Department, University of Toronto, Toronto, ON, Canada Barbara Lee Keyfitz, Department of Mathematics, The Ohio State University, Columbus, OH, USA Thomas S. Salisbury, Dept of Mathem. Statistics, York University, North York, ON, Canada Juris Steprans, Dept of Mathematics and Statistics, York University, Toronto, ON, Canada Noriko Yui, Queen's University, Kingston, ON, Canada

The Communications series features conference proceedings, surveys, and lecture notes generated from the activities at the Fields Institute for Research in the Mathematical Sciences. The publications evolve from each year’s main program and conferences. Many volumes are interdisciplinary in nature, covering applications of mathematics in science, engineering, medicine, industry, and finance.

More information about this series at http://www.springer.com/series/10503

Spiro Karigiannis Naichung Conan Leung Jason D. Lotay •



Editors

Lectures and Surveys on G2-Manifolds and Related Topics

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Editors Spiro Karigiannis Department of Pure Mathematics University of Waterloo Waterloo, ON, Canada

Naichung Conan Leung Institute of Mathematical Sciences Chinese University of Hong Kong Shatin, New Territories, Hong Kong

Jason D. Lotay Mathematical Institute University of Oxford Oxford, UK

ISSN 1069-5265 ISSN 2194-1564 (electronic) Fields Institute Communications ISBN 978-1-0716-0576-9 ISBN 978-1-0716-0577-6 (eBook) https://doi.org/10.1007/978-1-0716-0577-6 © Springer Science+Business Media, LLC, part of Springer Nature 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with re