Kundenlogin- Zusatztext
The book explains the foundations of Symplectic Field Theory very thoroughly and gives a lot of details which so far were not available in the current literature. After an introductory chapter that sets the stage for what contact geometry is and the role of holomorphic curves in the field the authors proceed to the heart of the material poviding a detailed exposition and computations from Finite Energy Planes and Periodic Orbits (chapter 4) to Disk Filling Methods and Applications (chapter 9)The material is self-contained and include a number of technical appendices giving the geometric analysis foundations for the main results so that one may easily follow the discussion. Graduate students as well as researchers who want to learn the basics of this fast developing theory will highly appreciate this accessible approach taken by the authors.
- Kurztext
This book explains the foundations of holomorphic curve theory in contact geometry. By using a particular geometric problem as a starting point the authors guide the reader into the subject. As such it ideally serves as preparation and as entry point for a deeper study of the analysis underlying symplectic field theory.An introductory chapter sets the stage explaining some of the basic notions of contact geometry and the role of holomorphic curves in the field. The authors proceed to the heart of the material providing a detailed exposition about finite energy planes and periodic orbits (chapter 4) to disk filling methods and applications (chapter 9).The material is self-contained. It includes a number of technical appendices giving the geometric analysis foundations for the main results, so that one may easily follow the discussion. Graduate students as well as researchers who want to learn the basics of this fast developing theory will highly appreciate this accessible approach taken by the authors.
- Autorenportrait
Casim Abbas, Michigan State University, Michigan, USAHelmut Hofer, Institute for Advanced Study, New Jersey, USA
The book explains the foundations of Symplectic Field Theory very thoroughly and gives a lot of details which so far were not available in the current literature. After an introductory chapter that sets the stage for what contact geometry is and the role of holomorphic curves in the field the authors proceed to the heart of the material poviding a detailed exposition and computations from Finite Energy Planes and Periodic Orbits (chapter 4) to Disk Filling Methods and Applications (chapter 9)The material is self-contained and include a number of technical appendices giving the geometric analysis foundations for the main results so that one may easily follow the discussion. Graduate students as well as researchers who want to learn the basics of this fast developing theory will highly appreciate this accessible approach taken by the authors.
