Pseudo-holomorphic curves: A very quick overview
Abstract: This is a review article on pseudo-holomorphic curves which attempts at touching all the main analytical results. The goal is to make a user friendly introduction which is accessible to those without an analytical background. Indeed, the major accomplishment of this review is probably its short length. Nothing in here is original and can be found in more detailed accounts such as [6] and [8]. The exposition of the compactness theorem is somewhat different from that in the standard references and parts of it are imported from harmonic map theory [7], [5]. The references used are listed, but of course any mistake is my own fault.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Pseudo-holomorphic curves: A very quick overview ; volume:7 ; number:1 ; year:2020 ; pages:215-229 ; extent:15
Complex manifolds ; 7, Heft 1 (2020), 215-229 (gesamt 15)
- Creator
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Oliveira, Gonçalo
- DOI
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10.1515/coma-2020-0105
- URN
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urn:nbn:de:101:1-2410281512195.579972849689
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:27 AM CEST
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Associated
- Oliveira, Gonçalo
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Gromov's compactness theorem for pseudo-holomorphic curves
Metrisability of projective surfaces and pseudo-holomorphic curves
Metrisability of projective surfaces and pseudo-holomorphic curves
Pseudo-holomorphic curves and periodic orbits on cotangent bundles
Holomorphic curves in symplectic geometry
Holomorphic curves in Shimura varieties
Compactness for punctured holomorphic curves
Radially Distributed Values of Holomorphic Curves
Punctured holomorphic curves and Lagrangian embeddings
Holomorphic Cartan geometries and rational curves
Knots, minimal surfaces and J-holomorphic curves
Compactness Results for H-holomorphic Curves in Symplectizations
Gromov's compactness theorem for pseudo-holomorphic curves
Metrisability of projective surfaces and pseudo-holomorphic curves
Metrisability of projective surfaces and pseudo-holomorphic curves
Pseudo-holomorphic curves and periodic orbits on cotangent bundles
Holomorphic curves in symplectic geometry
Holomorphic curves in Shimura varieties
Compactness for punctured holomorphic curves
Radially Distributed Values of Holomorphic Curves
Punctured holomorphic curves and Lagrangian embeddings
Holomorphic Cartan geometries and rational curves
Knots, minimal surfaces and J-holomorphic curves