Observables and Symmetries of n-Plectic Manifolds
Leonid Ryvkin gives a motivated and self-sustained introduction to n-plectic geometry with a special focus on symmetries. The relevant algebraic structures from scratch are developed. The author generalizes known symplectic notions, notably observables an
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Springer awards „BestMasters“ to the best master’s theses which have been completed at renowned universities in Germany, Austria, and Switzerland. The studies received highest marks and were recommended for publication by supervisors. They address current issues from various fields of research in natural sciences, psychology, technology, and economics. The series addresses practitioners as well as scientists and, in particular, offers guidance for early stage researchers.
Leonid Ryvkin
Observables and Symmetries of n-Plectic Manifolds
Leonid Ryvkin Bochum, Germany
BestMasters ISBN 978-3-658-12389-5 ISBN 978-3-658-12390-1 (eBook) DOI 10.1007/978-3-658-12390-1 Library of Congress Control Number: 2015960848 Springer Spektrum © Springer Fachmedien Wiesbaden 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, speci¿cally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on micro¿lms 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 speci¿c 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 respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer Spektrum is a brand of Springer Fachmedien Wiesbaden Springer Fachmedien Wiesbaden is part of Springer Science+Business Media (www.springer.com)
Acknowledgements I would like to express my deepest appreciation to my advisor Professor Dr. Tilmann Wurzbacher, who has been an ideal advisor for various reasons. Not only has he proposed the highly interesting topic of the thesis and given me optimal preparation to attacking it through the courses he offered during the last few years, but he also invested a tremendous amount of time in guiding and supporting me in the course of the composition of this thesis. Without his patience, mathematical (and didactic) skill I would have never been able to master this thesis. I would also like to thank him for his enthusiasm and sense of humour which provided “a light in the dark” during the more technical parts of work. I would like to express my gratefulness to the Gerhard C. Starck Stiftung for the financial and moral support during my studies. Thanks for giving me the possibility to fully concentrate on the subject, that I am so passionate about, and for the exceptional people that I had the privi
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