Hamiltonian Group Actions and Equivariant Cohomology

This monograph could be used for a graduate course on symplectic geometry as well as for independent study.The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the D

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Shubham Dwivedi Jonathan Herman Lisa C. Jeffrey Theo van den Hurk

Hamiltonian Group Actions and Equivariant Cohomology

SpringerBriefs in Mathematics Series Editors Palle Jorgensen, Iowa, USA Roderick Melnik, Waterloo, Canada Lothar Reichel, Kent, USA George Yin, Detroit, USA Nicola Bellomo, Torino, Italy Michele Benzi, Pisa, Italy Tatsien Li, Shanghai, China Otmar Scherzer, Linz, Austria Benjamin Steinberg, New York, USA Yuri Tschinkel, New York, USA Ping Zhang, Kalamazoo, USA

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Shubham Dwivedi Jonathan Herman Lisa C. Jeffrey Theo van den Hurk •





Hamiltonian Group Actions and Equivariant Cohomology

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Shubham Dwivedi Department of Pure Mathematics University of Waterloo Waterloo, ON, Canada

Jonathan Herman Department of Mathematical and Computational Sciences University of Toronto at Mississauga Mississauga, ON, Canada

Lisa C. Jeffrey Department of Mathematics University of Toronto Toronto, ON, Canada

Theo van den Hurk Department of Mathematics University of Toronto Toronto, ON, Canada

ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-030-27226-5 ISBN 978-3-030-27227-2 (eBook) https://doi.org/10.1007/978-3-030-27227-2 Mathematics Subject Classification (2010): 57R17 © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are solely and exclusively licensed 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, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered c