02170nam 22004335a 450 991015193480332120091109150325.03-03719-563-010.4171/063(CKB)3710000000953827(CH-001817-3)12-091109(PPN)178155438(EXLCZ)99371000000095382720091109j20080626 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierFukaya Categories and Picard-Lefschetz Theory[electronic resource] /Paul SeidelZuerich, Switzerland European Mathematical Society Publishing House20081 online resource (334 pages)Zurich Lectures in Advanced Mathematics (ZLAM)The 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 The last part discusses applications to Lefschetz fibrations, and contains many previously unpublished results.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.Differential & Riemannian geometrybicsscDifferential geometrymscAssociative rings and algebrasmscSeveral complex variables and analytic spacesmscDifferential & Riemannian geometryDifferential geometryAssociative rings and algebrasSeveral complex variables and analytic spaces53-xx16-xx32-xxmscSeidel Paul1070777ch0018173BOOK9910151934803321Fukaya Categories and Picard-Lefschetz Theory2565020UNINA