String-Math 2011 This Page Intentionally Left Blank Proceedings of Symposia in PURE MATHEMATICS
http://dx.doi.org/10.1090/pspum/085 String-Math 2011 This page intentionally left blank Proceedings of Symposia in PURE MATHEMATICS Volume 85 String-Math 2011 Jonathan Block Jacques Distler Ron Donagi Eric Sharpe Editors M THE ATI A CA M L ΤΡΗΤΟΣ ΜΗ N ΕΙΣΙΤΩ S A O C C I I American Mathematical Society R E E T ΑΓΕΩΜΕ Y M Providence, Rhode Island A F O 8 U 88 NDED 1 STRING-MATH 2011, UNIVERSITY OF PENNSYLVANIA, PHILADELPHIA, PA, JUNE 6–11, 2011 with support from the National Science Foundation, grants DMS-0963840 and DMS-0908487 2010 Mathematics Subject Classification. Primary 14-XX, 18-XX, 19-XX, 22-XX, 53-XX, 58-XX, 81-XX, 81Txx, 83Exx, 83E30. Library of Congress Cataloging-in-Publication Data String-Math (Conference) (2011 : Philadelphia, Pa.) String-Math 2011 : June 6–11, 2011, University of Pennsylvania, Philadelphia, Pennsylvania / Jonathan Block, Jacques Distler, Ron Donagi, Eric Sharpe, editors. pages cm. — (Proceedings of symposia in pure mathematics ; volume 85) Includes bibliographical references. ISBN 978-0-8218-7295-6 (alk. paper) 1. Geometry, Algebraic–Congresses. 2. Quantum theory–Mathematics–Congresses. I. Block, Jonathan, 1960–editor of compilation. II. Title. QA564.S77 2011 516.35—dc23 2012025768 Copying and reprinting. Material in this book may be reproduced by any means for edu- cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg- ment of the source is given. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale.
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