Contact and Symplectic Topology

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bourgeois, Frédéric (Editor), Colin, Vincent (Editor), Stipsicz, András (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Bolyai Society Mathematical Studies, 26
• Subjects: Physics.; Mathematical physics.; Geometry.; Mathematical Methods in Physics.; Mathematical Applications in the Physical Sciences.; Mathematical Physics.

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 t...

Table of Contents:

• Mathematical contributions from V.I. Arnold
• Topological methods in 3-dimensional contact geometry
• A short introduction to Fukaya categories
• Open books and Lefschetz pencils in contact geometry
• Introduction to contact topology in higher dimensions
• Bordered Heegaard Floer homology
• Stein structures: existence and flexibility
• Embedded contact homology, cobordism maps, and applications
• Knot contact homology and applications.