株式会社極東書店トップ商品一覧Holomorphic Curves and Global Questions in Contact Geometry. 1st ed. 2019.

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Holomorphic Curves and Global Questions in Contact Geometry.

Holomorphic Curves and Global Questions in Contact Geometry. 1st ed. 2019.

・ISBN 978-3-030-11802-0 hard EUR 69.99

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お気に入り
著者・編者Abbas, Casim / Hofer, Helmut,
シリーズBirkhauser Advanced Texts / Basler Lehrbucher
出版社(Springer Nature Switzerland AG, SZ)
出版年月2019
ページ数322 pp.
言語ENG
ニュース番号<M25-3203>

解説

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.