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Holomorphic Curves and Global Questions in Contact Geometry (Hardcover, 1st ed. 2019)
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Holomorphic Curves and Global Questions in Contact Geometry (Hardcover, 1st ed. 2019)
Series: Birkhauser Advanced Texts / Basler Lehrbucher
Expected to ship within 10 - 15 working days
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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.
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