Symplectic 4-Manifolds and Algebraic Surfaces
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003
Authors: Auroux, D., Catanese, F., Manetti, M., Seidel, P., Siebert, B., Smith, I., Tian, G.
Editors: Catanese, Fabrizio, Tian, Gang (Eds.)
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- About this book
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Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics.
The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher.
- Table of contents (5 chapters)
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Lefschetz Pencils, Branched Covers and Symplectic Invariants
Pages 1-53
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Differentiable and Deformation Type of Algebraic Surfaces, Real and Symplectic Structures
Pages 55-167
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Smoothings of Singularities and Deformation Types of Surfaces
Pages 169-230
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Lectures on Four-Dimensional Dehn Twists
Pages 231-267
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Lectures on Pseudo-Holomorphic Curves and the Symplectic Isotopy Problem
Pages 269-341
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Table of contents (5 chapters)
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- Download Table of contents PDF (203 KB)
- Web page of F. Catanese
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Symplectic 4-Manifolds and Algebraic Surfaces
- Book Subtitle
- Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003
- Authors
-
- Denis Auroux
- Fabrizio Catanese
- Marco Manetti
- Paul Seidel
- Bernd Siebert
- Ivan Smith
- Gang Tian
- Editors
-
- Fabrizio Catanese
- Gang Tian
- Series Title
- C.I.M.E. Foundation Subseries
- Series Volume
- 1938
- Copyright
- 2008
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-78279-7
- DOI
- 10.1007/978-3-540-78279-7
- Softcover ISBN
- 978-3-540-78278-0
- Edition Number
- 1
- Number of Pages
- XIV, 354
- Number of Illustrations
- 15 b/w illustrations
- Topics
