Contact and Symplectic Topology
Editors: Bourgeois, Frédéric, Colin, Vincent, Stipsicz, András (Eds.)
Free Preview- 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
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- About this book
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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.
- Table of contents (10 chapters)
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Vladimir Igorevich Arnold and the Invention of Symplectic Topology
Pages 1-25
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Topological Methods in 3-Dimensional Contact Geometry
Pages 27-83
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A Beginner’s Introduction to Fukaya Categories
Pages 85-136
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Geometric Decompositions of Almost Contact Manifolds
Pages 137-172
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Higher Dimensional Contact Topology via Holomorphic Disks
Pages 173-244
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Table of contents (10 chapters)
- Download Preface 1 PDF (234.3 KB)
- Download Sample pages 2 PDF (2.1 MB)
- Download Table of contents PDF (45.6 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Contact and Symplectic Topology
- Editors
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- Frédéric Bourgeois
- Vincent Colin
- András Stipsicz
- Series Title
- Bolyai Society Mathematical Studies
- Series Volume
- 26
- Copyright
- 2014
- Publisher
- Springer International Publishing
- Copyright Holder
- Copyright jointly owned by the János Bolyai Mathematical Society and Springer
- eBook ISBN
- 978-3-319-02036-5
- DOI
- 10.1007/978-3-319-02036-5
- Hardcover ISBN
- 978-3-319-02035-8
- Softcover ISBN
- 978-3-319-35063-9
- Series ISSN
- 1217-4696
- Edition Number
- 1
- Number of Pages
- XIII, 530
- Number of Illustrations
- 82 b/w illustrations, 82 illustrations in colour
- Topics
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