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Compactness results in
Symplectic Field Theory
Frederic Bourgeois, Yakov Eliashberg, Helmut Hofer, Kris Wysocki and Eduard Zehnder |
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Geometry & Topology 7 (2003) 799–888
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arXiv: math.SG/0308183 |
Abstract |
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This is one in a series of papers devoted to the foundations of Symplectic Field. We prove compactness results for moduli spaces of holomorphic curves arising in Symplectic Field Theory. The theorems generalize Gromov’s compactness theorem as well as compactness theorems in Floer homology theory and in contact geometry. |
Keywords
symplectic field theory, Gromov compactness, contact
geometry, holomorphic curves
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Mathematical Subject Classification 2000
Primary: 53D30
Secondary: 53D35, 53D05, 57R17
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References |
Forward citations |
Publication
Received: 19 August 2003
Accepted: 13 November 2003
Published: 4 December 2003
Proposed: Leonid Polterovich
Seconded: Robion Kirby, Simon Donaldson
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Authors |
| Frederic Bourgeois | |
| Universite Libre de Bruxelles B-1050 Bruxelles Belgium |
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| Yakov Eliashberg | |
| Stanford University Stanford California 94305-2125 USA |
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| Helmut Hofer | |
| Courant Institute New York New York 10012 USA |
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| Kris Wysocki | |
| The University of Melbourne Parkville Victoria 3010 Australia |
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| Eduard Zehnder | |
| ETH Zentrum CH-8092 Zurich Switzerland |
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