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Record Nr. |
UNINA9910338256203321 |
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Autore |
Abbas Casim |
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Titolo |
Holomorphic Curves and Global Questions in Contact Geometry / / by Casim Abbas, Helmut Hofer |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (XII, 322 p. 33 illus., 2 illus. in color.) |
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Collana |
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Birkhäuser Advanced Texts Basler Lehrbücher, , 2296-4894 |
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Disciplina |
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Soggetti |
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Geometry, Differential |
Global analysis (Mathematics) |
Manifolds (Mathematics) |
Dynamics |
Functions of complex variables |
Differential Geometry |
Global Analysis and Analysis on Manifolds |
Dynamical Systems |
Several Complex Variables and Analytic Spaces |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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