
Holomorphic Curves and Global Questions in Contact Geometry
Birkhäuser (Publisher)
Published on 14. April 2019
Book
Hardback
XII, 322 pages
978-3-030-11802-0 (ISBN)
Description
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.
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.
More details
Product info
Book
Series
Edition
1st ed. 2019
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
2 farbige Abbildungen, 31 s/w Abbildungen
Bibliographie
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 24 mm
Weight
670 gr
ISBN-13
978-3-030-11802-0 (9783030118020)
DOI
10.1007/978-3-030-11803-7
Schweitzer Classification
Other editions
Additional editions

Casim Abbas | Helmut Hofer
Holomorphic Curves and Global Questions in Contact Geometry
E-Book
03/2019
Birkhäuser
€74.89
Available for download
Persons
Casim Abbas, Michigan State University, Michigan, USAHelmut Hofer, Institute for Advanced Study, New Jersey, USA
Content
An Introduction to Contact Geometry.- Basic Results.- Surfaces in Three Dimensional Contact Manifolds.- Finite Energy Planes and Periodic Orbits.- Properties of Pseudoholomorphic Curves.- Intersection Theory for Pseudoholomorphic Disks.- Local Existence and Global Uniqueness Results.- Bubbling-off in Families of Pseudoholomorphic Disks.- Disk Filling Methods and Applications.