Holomorphic curves and global questions in contact geometry /

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Bibliographic Details
Author / Creator:Abbas, Casim.
Imprint:Cham : Birkhäuser, ©2019.
Description:1 online resource
Series:Birkhäuser advanced texts Basler Lehrbücher
Birkhäuser advanced texts.
Subject:Holomorphic functions.
Symplectic geometry.
Holomorphic functions.
Symplectic geometry.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11852334
Hidden Bibliographic Details
Other authors / contributors:Hofer, Helmut, 1956-
Notes:Includes bibliographical references and index.
Online resource; title from digital title page (viewed on April 12, 2019).
Summary: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.
Other form:Print version: Abbas, Casim. Holomorphic curves and global questions in contact geometry. Cham : Birkhäuser, ©2019 3030118029 9783030118020