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Contact and Symplectic Topology

  • Frédéric Bourgeois
  • Vincent Colin
  • András Stipsicz

Part of the Bolyai Society Mathematical Studies book series (BSMS, volume 26)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Gordana Matić
    Pages 245-273
  3. Robert Lipshitz, Peter Ozsváth, Dylan P. Thurston
    Pages 275-355
  4. Kai Cieliebak, Yakov Eliashberg
    Pages 357-388
  5. Michael Hutchings
    Pages 389-484

About this book

Introduction

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.

Keywords

Bordered Heegaard Floer Homology Fukaya Categories Homological Invariants Low-dimensional Topology Symplectic and Contact Geometry to Various Holomorphic Curves knot Contact Homology and Applications

Editors and affiliations

  • Frédéric Bourgeois
    • 1
  • Vincent Colin
    • 2
  • András Stipsicz
    • 3
  1. 1.Laboratoire de Mathématiques d'OrsayUniversité Paris-SudOrsayFrance
  2. 2.Lab. de Mathématiques Jean Leray UMR6629University of NantesNantesFrance
  3. 3.Alfréd Rényi Institute of MathematicsHungarian Academy of SciencesBudapestHungary

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-02036-5
  • Copyright Information Copyright jointly owned by the János Bolyai Mathematical Society and Springer 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-02035-8
  • Online ISBN 978-3-319-02036-5
  • Series Print ISSN 1217-4696
  • Buy this book on publisher's site