Symplectic Surgery

After these preparatory chapters now we are ready to describe the surgery scheme in the symplectic category. First we will deal with the general cutand-paste operation and then examine the handle attachment procedure in detail. The chapter concludes with

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BOLYAI SOCIETY MATHEMATICAL STUDIES Series Editor: Gabor Fejes Toth Publication Board: Laszlo Babai Istvan Juhasz Gyula 0. H. Katona Laszlo Lovasz Domokos Szasz Vilmos Totik Managing Editor: Dezs6 Miklos

Combinatorics, Paul Erdos is Eighty, Vol. 1 D. Miklos, V.T. Sos, T. Sz6nyi (Eds.) 2. Combinatorics, Paul Erdos is Eighty, Vol. 2 D. Miklos, V.T. Sos, T. Sz6nyi (Eds.) 3· Extremal Problems for Finite Sets P. Frankl, Z. Fiiredi, G. Katona, D. Miklos (Eds.) 1.

4· Topology with Applications A. Csaszar (Ed.) 5· Approximation Theory and Function Series P. Vertesi, L. Leindler, Sz. Revesz, J. Szabados, V. Totik (Eds.) 6. Intuitive Geometry I. Barany, K. Boroczky (Eds.) 7· Graph Theory and Combinatorial Biology L. Lovasz,A. Gyarfas, G. Katona, A. Recski (Eds.) 8. Low Dimensional Topology K. Bori:iczky, Jr., W. Neumann, A. Stipsicz (Eds.) 9· Random Walks P. Revesz, B. Toth (Eds.) 10. Contemporary Combinatorics B. Bollobas (Ed.) n. Paul Erdos and His Mathematics I+ II G. Halasz, L. Lovasz, M. Simonovits, V. T. Sos (Eds.) 12. Higher Dimensional Varieties and Rational Points K. Bi:iri:iczky, Jr., J. Kollar, T. Szamuely (Eds.) 13. Surgery on Contact 3-Manifolds and Stein Surfaces B. Ozbagci, A. I. Stipsicz

Burak Ozbagci Andras I. Stipsicz

Surgery on Contact 3- Manifolds and Stein Surfaces

~Springer

JANOS BOLYAI MATHEMATICAL SOCIETY

Burak Ozbagci Koc University Rumelifeneri Yolu, Sariyer 34450 Istanbul, Turkey e-mall: [email protected]

Andnis 1. Stipsicz Hungarian Academy of Sciences, Alfred Renyi Institute of Mathematics ReaItanoda U.13-15 1053 Budapest, Hungary e-mail: [email protected]

Mathematics Subject Classification (2000): 57Rxx, 53Dxx, 58KlO, 32Q28

Library of Congress Control Number: 2004110893

ISSN 1217-4696 ISBN 978-3-642-06184-4 ISBN 978-3-662-10167-4 (eBook) DOI 10.1007/978-3-662-10167-4 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. springeronline.com © 2004 Springer-Verlag Berlin Heidelberg Originally published by Springer-Verlag Berlin Heidelberg New York in 2004 Softcover reprint of the hardcover 1st edition 2004 The use of general descriptive names, registered names, trademarks, 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.

Cover design: Erich Kirchner, Heidelberg Printed on acid-free paper

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