Bolyai Society Mathematical Studies

Contact and Symplectic Topology

Editors: Bourgeois, Frédéric, Colin, Vincent, Stipsicz, András (Eds.)

  • 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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  • ISBN 978-3-319-02036-5
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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.

Table of contents (10 chapters)

  • Vladimir Igorevich Arnold and the Invention of Symplectic Topology

    Audin, Michèle

    Pages 1-25

  • Topological Methods in 3-Dimensional Contact Geometry

    Massot, Patrick

    Pages 27-83

  • A Beginner’s Introduction to Fukaya Categories

    Auroux, Denis

    Pages 85-136

  • Geometric Decompositions of Almost Contact Manifolds

    Presas, Francisco

    Pages 137-172

  • Higher Dimensional Contact Topology via Holomorphic Disks

    Niederkrüger, Klaus

    Pages 173-244

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-02036-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-02035-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-319-35063-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Contact and Symplectic Topology
Editors
  • 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 and Tables
82 b/w illustrations, 82 illustrations in colour
Topics