LEADER 02170nam 22004335a 450 001 9910151934803321 005 20091109150325.0 010 $a3-03719-563-0 024 70$a10.4171/063 035 $a(CKB)3710000000953827 035 $a(CH-001817-3)12-091109 035 $a(PPN)178155438 035 $a(EXLCZ)993710000000953827 100 $a20091109j20080626 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFukaya Categories and Picard-Lefschetz Theory$b[electronic resource] /$fPaul Seidel 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2008 215 $a1 online resource (334 pages) 225 0 $aZurich Lectures in Advanced Mathematics (ZLAM) 330 $aThe central objects in the book are Lagrangian submanifolds and their invariants, such as Floer homology and its multiplicative structures, which together constitute the Fukaya category. The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained account of the necessary homological algebra. Generally, the emphasis is on simplicity rather than generality. The last part discusses applications to Lefschetz fibrations, and contains many previously unpublished results. The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry. Winner 2010 AMS Veblen Prize in Geometry. 606 $aDifferential & Riemannian geometry$2bicssc 606 $aDifferential geometry$2msc 606 $aAssociative rings and algebras$2msc 606 $aSeveral complex variables and analytic spaces$2msc 615 07$aDifferential & Riemannian geometry 615 07$aDifferential geometry 615 07$aAssociative rings and algebras 615 07$aSeveral complex variables and analytic spaces 686 $a53-xx$a16-xx$a32-xx$2msc 700 $aSeidel$b Paul$01070777 801 0$bch0018173 906 $aBOOK 912 $a9910151934803321 996 $aFukaya Categories and Picard-Lefschetz Theory$92565020 997 $aUNINA