Contact and symplectic topology / Frédéric Bourgeois, Vincent Colin, András Stipsicz (eds.).

Other author Bourgeois, Frédérique.
Other author Colin, Vincent.
Other author Stipsicz, András.
Format Electronic
Publication InfoCham ; New York : Springer János Bolyai Mathematical Society, [2014].
Descriptionxiii, 530 pages : illustrations (some color) ; 24 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English International
Supplemental ContentFull text available from Springer Books
Subjects

SeriesBolyai Society mathematical studies ; 24
Bolyai Society mathematical studies ; 26. 1217-4696
Contents Vladimir Igorevich Arnold and the invention of symplectic topology / M. Audin -- Topological methods in 3-dimensional contact geometry / P. Massot -- Beginner's introduction to Fukaya categories / D. Auroux -- Geometric decompositions of almost contact manifolds / F. Presas -- Higher dimensional contact topology via holomorphic disks / K. Niederkrüger -- Contact invariants in Floer homology / G. Matić -- Notes on bordered Floer homology / R. Lipshitz, P. Ozsváth and D.P. Thurston -- Stein structures: existence and flexibility / K. Cieliebak and Y. Eliashberg -- Lecture notes on embedded contact homology / M. Hutchings -- A topological introduction to knot contact homology / L. Ng.
Summary 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.-- Source other than Library of Congress.
Bibliography noteIncludes bibliographical references.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2014932294
ISBN9783319020358 (alk. paper)
ISBN3319020358 ( (alk. paper)