Holomorphic Curves and Global Questions in Contact Geometry

Casim Abbas

ISBN 10: 3030118029 / ISBN 13: 9783030118020

Published by Birkhäuser, Palgrave Macmillan, 2019

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783030118020

Bibliographic Details

• Title: Holomorphic Curves and Global Questions in Contact Geometry
• Publisher: Birkhäuser, Palgrave Macmillan
• Publication Date: 2019
• Language: English
• ISBN 10: 3030118029
• ISBN 13: 9783030118020
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 24D millimeters 241 millimeters width by 160 millimeters height by 24 millimeters depth
• Weight: 670 grams

About this title

Synopsis

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.

About the Author

Casim Abbas,  Michigan State University, Michigan, USA

Helmut Hofer, Institute for Advanced Study, New Jersey, USA