Lectures on Four-Dimensional Dehn Twists
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Denis Auroux Marco Manetti Bernd Siebert Gang Tian
Fabrizio Catanese Paul Seidel Ivan Smith
Symplectic 4-Manifolds and Algebraic Surfaces
1938 Cetraro, Italy 2003 Editors: F. Catanese, G. Tian
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Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris
1938
C.I.M.E. means Centro Internazionale Matematico Estivo, that is, International Mathematical Summer Center. Conceived in the early fifties, it was born in 1954 and made welcome by the world mathematical community where it remains in good health and spirit. Many mathematicians from all over the world have been involved in a way or another in C.I.M.E.’s activities during the past years. So they already know what the C.I.M.E. is all about. For the benefit of future potential users and cooperators the main purposes and the functioning of the Centre may be summarized as follows: every year, during the summer, Sessions (three or four as a rule) on different themes from pure and applied mathematics are offered by application to mathematicians from all countries. Each session is generally based on three or four main courses (24−30 hours over a period of 6-8 working days) held from specialists of international renown, plus a certain number of seminars. A C.I.M.E. Session, therefore, is neither a Symposium, nor just a School, but maybe a blend of both. The aim is that of bringing to the attention of younger researchers the origins, later developments, and perspectives of some branch of live mathematics. The topics of the courses are generally of international resonance and the participation of the courses cover the expertise of different countries and continents. Such combination, gave an excellent opportunity to young participants to be acquainted with the most advance research in the topics of the courses and the possibility of an interchange with the world famous specialists. The full immersion atmosphere of the courses and the daily exchange among participants are a first building brick in the edifice of international collaboration in mathematical research. C.I.M.E. Director Pietro ZECCA Dipartimento di Energetica “S. Stecco” Università di Firenze Via S. Marta, 3 50139 Florence Italy e-mail: zecca@unifi.it
C.I.M.E. Secretary Elvira MASCOLO Dipartimento di Matematica Università di Firenze viale G.B. Morgagni 67/A 50134 Florence Italy e-mail: [email protected]fi.it
For more information see CIME’s homepage: http://www.cime.unifi.it CIME’s activity is supported by: – Istituto Nationale di Alta Mathematica “F. Severi” – Ministero dell’Istruzione, dell’Università e delle Ricerca – Ministero degli Affari Esteri, Direzione Generale per la Promozione e la Cooperazione, Ufficio V
Denis Auroux · Fabrizio Catanese Marco Manetti · Paul Seidel Bernd Siebert · Ivan Smith Gang Tian
Symplectic 4-Manifolds and Algebraic Surfaces Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 2–10, 2003 Editors: Fabrizio Catanese Gang Tian
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Denis Auroux
Bernd Siebert
Department of Mathematics, Room 2-248 Massachusetts
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