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Symplectic 4-Manifolds and Algebraic Surfaces [electronic resource] : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 210, 2003 / by Denis Auroux, Marco Manetti, Paul Seidel, Bernd Siebert, Ivan Smith ; edited by Fabrizio Catanese, Gang Tian.

Por: Auroux, Denis [author.]Colaborador(es): Manetti, Marco [author.] | Seidel, Paul [author.] | Siebert, Bernd [author.] | Smith, Ivan [author.] | Catanese, Fabrizio [editor.] | Tian, Gang [editor.]Tipo de material: TextoTextoSeries Lecture Notes in Mathematics, 1938Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008Descripción: online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783540782797Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Geometry, algebraic | Group theory | Differential equations, partial | Global differential geometry | Cell aggregation -- Mathematics | Mathematics | Algebraic Geometry | Differential Geometry | Several Complex Variables and Analytic Spaces | Group Theory and Generalizations | Manifolds and Cell Complexes (incl. Diff.Topology)Formatos físicos adicionales: Sin títuloClasificación CDD: 516.35 Clasificación LoC:QA564-609Recursos en línea: de clik aquí para ver el libro electrónico
Contenidos:
Springer eBooksResumen: 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.
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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.

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.

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