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Contact and symplectic topology / Frederic Bourgeois, Vincent Colin, Andras Stipsicz (eds.)

By: Bourgeois, Frederique, [edt.].
Contributor(s): Bourgeois, Frederique [editor.] | Colin, Vincent [editor.] | Stipsicz, Andras [editor.].
Material type: TextTextSeries: Bolyai Society mathematical studies: 26.Publisher: Cham ; New York : Springer Janos Bolyai Mathematical Society, [2014]Copyright date: c2014Description: xiii, 530 pages : E 94.99 illustrations (some color) ; 24 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9783319020358 (alk. paper); 3319020358 ( (alk. paper).Subject(s): Symplectic and contact topology | Mathematical physicsDDC classification: 516.36
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. Niederkruger -- Contact invariants in Floer homology / G. Matic -- Notes on bordered Floer homology / R. Lipshitz, P. Ozsvath 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.
Abstract: 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.
List(s) this item appears in: 2015-03-16
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks 		514.72 BOU (Browse shelf) Available 9485
Total holds: 0

Includes bibliographical references.

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. Niederkruger -- Contact invariants in Floer homology / G. Matic -- Notes on bordered Floer homology / R. Lipshitz, P. Ozsvath 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.

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.