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Physics - Theoretical, Mathematical & Computational Physics | Contact and Symplectic Topology

Contact and Symplectic Topology

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

2014, XIII, 530 p. 164 illus., 82 illus. in color.

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  • 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

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.

Content Level » Research

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

Related subjects » Geometry & Topology - Theoretical, Mathematical & Computational Physics

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