Holomorphic Curves and Global Questions in Contact Geometry
Language: English
Published by Birkhäuser, 2019
Series: Book 18 of 23 - Birkhäuser Advanced Texts Basler Lehrbücher
- Hardcover
- Used
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- Title
- Holomorphic Curves and Global Questions in Contact Geometry
- Author
- Abbas, Casim; Hofer, Helmut
- Publisher
- Birkhäuser
- Publication year
- 2019
- Condition
- As New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3030118029
- ISBN 13
- 9783030118020
- Series
- Book 18 of 23: Birkhäuser Advanced Texts Basler Lehrbücher
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.
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