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Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Holomorphic Curves and Global Questions in Contact Geometry ([EBook]) / by Casim Abbas, Helmut Hofer.
Author	Abbas, Casim
Added Personal Name	Hofer, Helmut
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2019.
Publication	Cham : Springer International Publishing , 2019.
Physical Details	XII, 322 pages: 33 illus., 2 illus. in color. : online resource.
Series	Birkhäuser Advanced Texts / Basler Lehrbücher
ISBN	9783030118037
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-11803-7
Links to Related Works	Subject References: Differential Geometry . Dynamical systems and ergodic theory . Dynamics . Ergodic theory . Functions of complex variables . Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Several Complex Variables and Analytic Spaces . Authors: Abbas, Casim . author . Hofer, Helmut . Corporate Authors: SpringerLink (Online service) . Series: Birkhäuser Advanced Texts / Basler Lehrbücher . Classification: 516.36 . 516.36 (DDC 23) .

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Holomorphic Curves and Global Questions in Contact Geometry

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