Volume Conjecture for Knots

The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of the knot complement. Here the colored Jones polynomial is a generalization of the celebrated Jones polynom

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Hitoshi Murakami · Yoshiyuki Yokota

Volume Conjecture for Knots

SpringerBriefs in Mathematical Physics Volume 30

Series editors Nathanaël Berestycki, Cambridge, UK Mihalis Dafermos, Princeton, USA Tohru Eguchi, Tokyo, Japan Atsuo Kuniba, Tokyo, Japan Matilde Marcolli, Pasadena, USA Bruno Nachtergaele, Davis, USA

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Hitoshi Murakami • Yoshiyuki Yokota

Volume Conjecture for Knots

123

Hitoshi Murakami Graduate School of Information Sciences Tohoku University Sendai, Japan

Yoshiyuki Yokota Department of Mathematics and Information Science Tokyo Metropolitan University Tokyo, Japan

ISSN 2197-1757 ISSN 2197-1765 (electronic) SpringerBriefs in Mathematical Physics ISBN 978-981-13-1149-9 ISBN 978-981-13-1150-5 (eBook) https://doi.org/10.1007/978-981-13-1150-5 Library of Congress Control Number: 2018948365 © The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd. 2018 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 respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral wi