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MARC 21

Holomorphic Curves and Global Questions in Contact Geometry
Tag	Description
020	$a9783030118037
082	$a516.36
099	$aOnline Resource: Birkhäuser
100	$aAbbas, Casim.$eauthor.
245	$aHolomorphic Curves and Global Questions in Contact Geometry$h[EBook]$cby Casim Abbas, Helmut Hofer.
250	$a1st ed. 2019.
260	$aCham$bSpringer International Publishing$c2019.
300	$aXII, 322 pages: 33 illus., 2 illus. in color.$bonline resource.
440	$aBirkhäuser Advanced Texts Basler Lehrbücher,
505	$aAn 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.
520	$aThis 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700	$aHofer, Helmut.$eauthor.
710	$aSpringerLink (Online service)
830	$aBirkhäuser Advanced Texts Basler Lehrbücher,
856	$uhttps://doi.org/10.1007/978-3-030-11803-7