LEADER 05004nam 22008295 450 001 996466536403316 005 20200706140056.0 010 $a3-540-78279-6 024 7 $a10.1007/978-3-540-78279-7 035 $a(CKB)1000000000437235 035 $a(SSID)ssj0000320295 035 $a(PQKBManifestationID)11258306 035 $a(PQKBTitleCode)TC0000320295 035 $a(PQKBWorkID)10347989 035 $a(PQKB)11712980 035 $a(DE-He213)978-3-540-78279-7 035 $a(MiAaPQ)EBC3068706 035 $a(PPN)125218230 035 $a(EXLCZ)991000000000437235 100 $a20100301d2008 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSymplectic 4-Manifolds and Algebraic Surfaces$b[electronic resource] $eLectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 /$fby Denis Auroux, Fabrizio Catanese, Marco Manetti, Paul Seidel, Bernd Siebert, Ivan Smith, Gang Tian ; edited by Fabrizio Catanese, Gang Tian 205 $a1st ed. 2008. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008. 215 $a1 online resource (XIV, 354 p. 15 illus.) 225 1 $aC.I.M.E. Foundation Subseries ;$v1938 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-78278-8 320 $aIncludes bibliographical references. 327 $aLefschetz 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. 330 $aModern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics. The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher. 410 0$aC.I.M.E. Foundation Subseries ;$v1938 606 $aAlgebraic geometry 606 $aDifferential geometry 606 $aFunctions of complex variables 606 $aGroup theory 606 $aManifolds (Mathematics) 606 $aComplex manifolds 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198 606 $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078 606 $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027 615 0$aAlgebraic geometry. 615 0$aDifferential geometry. 615 0$aFunctions of complex variables. 615 0$aGroup theory. 615 0$aManifolds (Mathematics). 615 0$aComplex manifolds. 615 14$aAlgebraic Geometry. 615 24$aDifferential Geometry. 615 24$aSeveral Complex Variables and Analytic Spaces. 615 24$aGroup Theory and Generalizations. 615 24$aManifolds and Cell Complexes (incl. Diff.Topology). 676 $a516.3/52 700 $aAuroux$b Denis$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472522 702 $aCatanese$b Fabrizio$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aManetti$b Marco$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSeidel$b Paul$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSiebert$b Bernd$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSmith$b Ivan$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTian$b Gang$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aCatanese$b Fabrizio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aTian$b Gang$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a996466536403316 996 $aSymplectic 4-manifolds and algebraic surfaces$9230637 997 $aUNISA