03642nam 22006735 450 991030015450332120230825090210.03-319-02036-610.1007/978-3-319-02036-5(CKB)3710000000093983(EBL)1698109(OCoLC)880551593(SSID)ssj0001187080(PQKBManifestationID)11773430(PQKBTitleCode)TC0001187080(PQKBWorkID)11257651(PQKB)11111839(MiAaPQ)EBC1698109(DE-He213)978-3-319-02036-5(PPN)17782557X(EXLCZ)99371000000009398320140310d2014 u| 0engur|n|---|||||txtccrContact and Symplectic Topology /edited by Frédéric Bourgeois, Vincent Colin, András Stipsicz1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (538 p.)Bolyai Society Mathematical Studies,2947-9460 ;26Description based upon print version of record.3-319-02035-8 Includes bibliographical references at the end of each chapters.Mathematical contributions from V.I. Arnold -- Topological methods in 3-dimensional contact geometry -- A short introduction to Fukaya categories -- Open books and Lefschetz pencils in contact geometry -- Introduction to contact topology in higher dimensions -- Bordered Heegaard Floer homology -- Stein structures: existence and flexibility -- Embedded contact homology, cobordism maps, and applications -- Knot contact homology and applications.Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.Bolyai Society Mathematical Studies,2947-9460 ;26Mathematical physicsGeometryMathematical Methods in PhysicsGeometryMathematical PhysicsMathematical physics.Geometry.Mathematical Methods in Physics.Geometry.Mathematical Physics.516.36Bourgeois Frédéricedthttp://id.loc.gov/vocabulary/relators/edtColin Vincentedthttp://id.loc.gov/vocabulary/relators/edtStipsicz Andrásedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910300154503321Contact and symplectic topology1410209UNINA