Symplectic 4-Manifolds and Algebraic Surfaces Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 2–10, 2003 /

• Main Authors: Auroux, Denis (Author), Manetti, Marco (Author), Seidel, Paul (Author), Siebert, Bernd (Author), Smith, Ivan (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Catanese, Fabrizio (Editor), Tian, Gang (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1938
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; Functions of complex variables.; Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Algebraic Geometry.; Differential Geometry.; Several Complex Variables and Analytic Spaces.; Group Theory and Generalizations.; Manifolds and Cell Complexes (incl. Diff.Topology).

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 an...

Table of Contents:

• Lefschetz Pencils, Branched Covers and Symplectic Invariants
• Differentiable and Deformation Type of Algebraic Surfaces, Real and Symplectic Structures
• Smoothings of Singularities and Deformation Types of Surfaces
• Lectures on Four-Dimensional Dehn Twists
• Lectures on Pseudo-Holomorphic Curves and the Symplectic Isotopy Problem.