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Contact and Symplectic Topology: Bolyai Society Mathematical Studies, cartea 26

Editat de Frédéric Bourgeois, Vincent Colin, András Stipsicz
en Limba Engleză Hardback – 19 mar 2014
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.
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Specificații

ISBN-13: 9783319020358
ISBN-10: 3319020358
Pagini: 544
Ilustrații: XIII, 530 p. 164 illus., 82 illus. in color.
Dimensiuni: 165 x 235 x 35 mm
Greutate: 0.96 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seria Bolyai Society Mathematical Studies

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Explains the application of symplectic and contact geometry to various fields of physics Presents a wide panorama of hot topics in a very active field of mathematics Displays tutorial-like lectures designed to be accessible to graduate students Includes recent advances that are not covered elsewhere in the literature Includes supplementary material: sn.pub/extras