03333nam 2200625 a 450 991048423210332120251117065013.09783540782797354078279610.1007/978-3-540-78279-7(CKB)1000000000437235(SSID)ssj0000320295(PQKBManifestationID)11258306(PQKBTitleCode)TC0000320295(PQKBWorkID)10347989(PQKB)11712980(DE-He213)978-3-540-78279-7(MiAaPQ)EBC3068706(PPN)125218230(EXLCZ)99100000000043723520080122d2008 uy 0engurnn|008mamaatxtccrSymplectic 4-manifolds and algebraic surfaces lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, Italy, September 2-10, 2003 /Denis Auroux ... [et al.] ; editors, Farizio Catanese, Gang Tian1st ed. 2008.Berlin Springer20081 online resource (XIV, 354 p. 15 illus.) Lecture notes in mathematics,0075-8434 ;1938Bibliographic Level Mode of Issuance: Monograph9783540782780 3540782788 Includes bibliographical references.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.Lecture notes in mathematics (Springer-Verlag) ;1938.Surfaces, AlgebraicCongressesSymplectic manifoldsCongressesSymplectic geometryCongressesSurfaces, AlgebraicSymplectic manifoldsSymplectic geometry516.3/52Auroux Denis472522Catanese F(Fabrizio)54388Tian Gang1958-1890236MiAaPQMiAaPQMiAaPQBOOK9910484232103321Symplectic 4-manifolds and algebraic surfaces4531982UNINA