书目名称 | Holomorphic Curves and Global Questions in Contact Geometry |
编辑 | Casim Abbas,Helmut Hofer |
视频video | |
概述 | Entry point to Symplectic Field Theory (SFT).Entry point for the study of finite energy foliations.Proves deep results in pseudoholomorphic curve theory.Written by leading researchers in this area.A m |
丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher |
图书封面 |  |
描述 | .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.. |
出版日期 | Textbook 2019 |
关键词 | finite energy planes; weinstein conjecture; pseudoholomorphic curves; disk filling method; contact forms |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-11803-7 |
isbn_ebook | 978-3-030-11803-7Series ISSN 1019-6242 Series E-ISSN 2296-4894 |
issn_series | 1019-6242 |
copyright | Springer Nature Switzerland AG 2019 |