Contact and symplectic topology
By: Frédéric Bourgeois, Vincent Colin, András Stipsicz (eds.)
Series: Bolyai Society mathematical studies -- 24; Bolyai Society mathematical studies -- 26.
Publisher: Springer; János Bolyai Mathematical Society
Published: 2014
Place of publication: Cham; New York
Language: eng
Number of pages: 530
ISBN-13: 9783319020358; 9783319020365
Copyright date: 2014
Subjects: Mathematical physics; Symplectic and contact topology
Description: 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.--
Notes: Includes bibliographical references.
Table of contents: title: Vladimir Igorevich Arnold and the invention of symplectic topology / M. Audin; title: Topological methods in 3-dimensional contact geometry / P. Massot; title: Beginner's introduction to Fukaya categories / D. Auroux; title: Geometric decompositions of almost contact manifolds / F. Presas; title: Higher dimensional contact topology via holomorphic disks / K. Niederkrüger; title: Contact invariants in Floer homology / G. Matić; title: Notes on bordered Floer homology / R. Lipshitz, P. Ozsváth and D.P. Thurston; title: Stein structures: existence and flexibility / K. Cieliebak and Y. Eliashberg; title: Lecture notes on embedded contact homology / M. Hutchings; title: A topological introduction to knot contact homology / L. Ng.