05004nam 22008295 450 99646653640331620200706140056.03-540-78279-610.1007/978-3-540-78279-7(CKB)1000000000437235(SSID)ssj0000320295(PQKBManifestationID)11258306(PQKBTitleCode)TC0000320295(PQKBWorkID)10347989(PQKB)11712980(DE-He213)978-3-540-78279-7(MiAaPQ)EBC3068706(PPN)125218230(EXLCZ)99100000000043723520100301d2008 u| 0engurnn|008mamaatxtccrSymplectic 4-Manifolds and Algebraic Surfaces[electronic resource] Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 /by Denis Auroux, Fabrizio Catanese, Marco Manetti, Paul Seidel, Bernd Siebert, Ivan Smith, Gang Tian ; edited by Fabrizio Catanese, Gang Tian1st ed. 2008.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2008.1 online resource (XIV, 354 p. 15 illus.) C.I.M.E. Foundation Subseries ;1938Bibliographic Level Mode of Issuance: Monograph3-540-78278-8 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.C.I.M.E. Foundation Subseries ;1938Algebraic geometryDifferential geometryFunctions of complex variablesGroup theoryManifolds (Mathematics)Complex manifoldsAlgebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Several Complex Variables and Analytic Spaceshttps://scigraph.springernature.com/ontologies/product-market-codes/M12198Group Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Manifolds and Cell Complexes (incl. Diff.Topology)https://scigraph.springernature.com/ontologies/product-market-codes/M28027Algebraic geometry.Differential geometry.Functions of complex variables.Group theory.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).516.3/52Auroux Denisauthttp://id.loc.gov/vocabulary/relators/aut472522Catanese Fabrizioauthttp://id.loc.gov/vocabulary/relators/autManetti Marcoauthttp://id.loc.gov/vocabulary/relators/autSeidel Paulauthttp://id.loc.gov/vocabulary/relators/autSiebert Berndauthttp://id.loc.gov/vocabulary/relators/autSmith Ivanauthttp://id.loc.gov/vocabulary/relators/autTian Gangauthttp://id.loc.gov/vocabulary/relators/autCatanese Fabrizioedthttp://id.loc.gov/vocabulary/relators/edtTian Gangedthttp://id.loc.gov/vocabulary/relators/edtBOOK996466536403316Symplectic 4-manifolds and algebraic surfaces230637UNISA