Perspectives in Analysis, Geometry, and Topology On the Occasion of
A Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry, and Topology was held at Stockholm University in May 2008. The choice of subjects of the Symposium and present volume was motivated by the work and mathematical interests of Oleg Viro to
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Series Editors
Hyman Bass Joseph Oesterl´e Yuri Tschinkel Alan Weinstein
For further volumes: http://www.springer.com/series/4848
Ilia Itenberg
•
Burglind J¨oricke
•
Mikael Passare
Editors
Perspectives in Analysis, Geometry, and Topology On the Occasion of the 60th Birthday of Oleg Viro
Editors Ilia Itenberg Universit´e Pierre et Marie Curie and Institut Universitaire de France Institut de Math´ematiques de Jussieu 4 place Jussieu 75005 Paris France [email protected]
Burglind J¨oricke ´ Institut des Hautes Etudes Scientifiques Le Bois-Marie 35, route de Chartres Bures-sur-Yvette 91440 France [email protected]
Mikael Passare Department of Mathematics Stockholm University Stockholm SE-10691 Sweden [email protected]
ISBN 978-0-8176-8276-7 e-ISBN 978-0-8176-8277-4 DOI 10.1007/978-0-8176-8277-4 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011939742 Mathematics Subject Classification (2010): 11H06, 14P25, 14T05, 14H99, 20F36, 31A25, 32U05, 53D05, 53D10, 53D40, 53D42, 57Mxx, 57M25, 57M27 c Springer Science+Business Media, LLC 2012 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.birkhauser-science.com)
This volume is dedicated to Oleg Viro on the occasion of his 60th birthday.
Contents
Preface .. . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . .
ix
A Glimpse into Viro’s Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . .
xi
On the Content of This Volume .. . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . .
xv
Program of the Symposium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . .
xxv
On the Unity of Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . xxix Exotic Structures on Smooth Four-Manifolds . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . Selman Akbulut
1
Rational Linking and Contact Geometry . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . Kenneth Baker and John Etnyre
19
Regularity of Plurisubharmonic Upper Envelopes in Big Cohomology Classes . .
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