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＜E-Book＞
Contact and Symplectic Topology / edited by Frédéric Bourgeois, Vincent Colin, András Stipsicz
(Bolyai Society Mathematical Studies. ISSN:29479460 ; 26)

Edition	1st ed. 2014.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2014
Language	English
Size	XIII, 530 p. 164 illus., 82 illus. in color : online resource
Authors	Bourgeois, Frédéric editor Colin, Vincent editor Stipsicz, András editor SpringerLink (Online service)
Subjects	LCSH:Mathematical physics LCSH:Geometry FREE:Mathematical Methods in Physics FREE:Geometry FREE:Mathematical Physics
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-319-02036-5

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