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Holomorphic Curves and Global Questions in Contact Geometry / / by Casim Abbas, Helmut Hofer
| Holomorphic Curves and Global Questions in Contact Geometry / / by Casim Abbas, Helmut Hofer |
| Autore | Abbas Casim |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 |
| Descrizione fisica | 1 online resource (XII, 322 p. 33 illus., 2 illus. in color.) |
| Disciplina | 515.98 |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
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 |
| ISBN | 3-030-11803-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910338256203321 |
Abbas Casim
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An introduction to compactness results in symplectic field theory / / Casim Abbas
| An introduction to compactness results in symplectic field theory / / Casim Abbas |
| Autore | Abbas Casim |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Heidelberg, Germany : , : Springer, , 2014 |
| Descrizione fisica | 1 online resource (viii, 252 pages) : illustrations (some color) |
| Disciplina |
510
514.34 516.3 516.3/6 |
| Collana | Gale eBooks |
| Soggetto topico | Symplectic geometry |
| ISBN | 3-642-31543-7 |
| Classificazione | SK 370 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""An Introduction to Compactness Results in Symplectic Field Theory""; ""Preface""; ""Contents""; ""Chapter 1: Riemann Surfaces""; ""1.1 Smooth and Noded Riemann Surfaces""; ""1.2 Riemann Surfaces and Hyperbolic Geometry""; ""1.2.1 Stable Surfaces""; ""1.2.2 The Hyperbolic Plane""; ""1.2.3 Gluing Hyperbolic Surfaces Along Their Boundaries""; ""1.2.4 Annuli""; ""1.2.5 Hexagons in the Upper Half Plane and Pairs of Pants""; ""1.2.6 Pairs of Pants Decompositions""; ""1.2.7 Thick-Thin Decomposition and Collar Lemma""; ""1.3 The Deligne-Mumford Compactness Result""
""1.3.1 The Notion of Convergence""""1.3.2 The Proof of the Compactness Result for Surfaces Without Boundary""; ""1.3.3 Surfaces with Boundary""; ""Chapter 2: Pseudoholomorphic Curves""; ""2.1 Basic De nitions""; ""2.2 Asymptotic Behavior Near a Puncture""; ""2.2.1 Introduction""; ""2.2.2 Estimates for the Linear Cauchy Riemann Operator""; ""2.2.3 Regularity: Gradient Bounds Imply Cinfty-Bounds""; ""2.2.4 Behavior Near an Interior Puncture""; ""2.2.5 Behavior Near a Boundary Puncture""; ""2.3 Isoperimetric Inequality, Monotonicity Lemma, Removal of Singularities"" ""2.4 Finite-Energy Strips and Cylinders of Small Area""""Chapter 3: The SFT Compactness Results""; ""3.1 Holomorphic Buildings for Curves Without Boundary""; ""3.1.1 Holomorphic Buildings of Height 1""; ""3.1.2 Holomorphic Buildings of Height N""; ""3.2 Adding Additional Marked Points""; ""3.3 The Compactness Result for the Case Without Boundary""; ""3.3.1 Statement of the Result""; ""3.3.2 Gradient Bounds""; ""3.3.3 Convergence in the Thick Part""; ""3.3.4 Convergence in the Thin Part and Level Structure""; ""3.4 More General Holomorphic Buildings and Compactness Results"" ""3.4.1 Holomorphic Buildings of Height 1""""3.4.2 Holomorphic Buildings of Height N""; ""3.4.3 Holomorphic Buildings in Manifolds with Cylindrical Ends""; ""3.4.4 A More General Compactness Result""; ""References""; ""Index"" |
| Record Nr. | UNINA-9910300151603321 |
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Abbas Casim
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| Heidelberg, Germany : , : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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