Editors:
- 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
Part of the book series: Bolyai Society Mathematical Studies (BSMS, volume 26)
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Table of contents (10 chapters)
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Front Matter
About this book
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.
Editors and Affiliations
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Laboratoire de Mathématiques d'Orsay, Université Paris-Sud, Orsay, France
Frédéric Bourgeois
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Lab. de Mathématiques Jean Leray UMR6629, University of Nantes, Nantes, France
Vincent Colin
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Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary
András Stipsicz
Bibliographic Information
Book Title: Contact and Symplectic Topology
Editors: Frédéric Bourgeois, Vincent Colin, András Stipsicz
Series Title: Bolyai Society Mathematical Studies
DOI: https://doi.org/10.1007/978-3-319-02036-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Copyright jointly owned by the János Bolyai Mathematical Society and Springer 2014
Hardcover ISBN: 978-3-319-02035-8Published: 19 March 2014
Softcover ISBN: 978-3-319-35063-9Published: 23 August 2016
eBook ISBN: 978-3-319-02036-5Published: 10 March 2014
Series ISSN: 1217-4696
Series E-ISSN: 2947-9460
Edition Number: 1
Number of Pages: XIII, 530
Number of Illustrations: 82 b/w illustrations, 82 illustrations in colour
Topics: Mathematical Methods in Physics, Geometry, Mathematical Applications in the Physical Sciences, Mathematical Physics