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Birkhäuser Advanced Texts Basler Lehrbücher Virtual Series on Symplectic Geometry

Holomorphic Curves and Global Questions in Contact Geometry

Authors: Abbas, Casim, Hofer, Helmut

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  • 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 must to have to graduate students entering this field of mathematical research
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eBook 53,49 €
price for Spain (gross)
  • ISBN 978-3-030-11803-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-030-11802-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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 authors

Casim Abbas,  Michigan State University, Michigan, USAHelmut Hofer, Institute for Advanced Study, New Jersey, USA

Reviews

“The book under review is the entry point for studying low-dimensional foliations and the symplectic field theory. … It can be seen as a perfect tool for graduate students and researchers who would like to learn about pseudoholomorphic curves in contact geometry.” (Roman Golovko, zbMATH 1431.53001, 2020)


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 53,49 €
price for Spain (gross)
  • ISBN 978-3-030-11803-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-030-11802-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Holomorphic Curves and Global Questions in Contact Geometry
Authors
Series Title
Birkhäuser Advanced Texts Basler Lehrbücher
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-11803-7
DOI
10.1007/978-3-030-11803-7
Hardcover ISBN
978-3-030-11802-0
Series ISSN
1019-6242
Edition Number
1
Number of Pages
XII, 322
Number of Illustrations
31 b/w illustrations, 2 illustrations in colour
Topics