Compactness results in Symplectic Field Theory

Bourgeois, Frederic¹ ; Eliashberg, Yakov² ; Hofer, Helmut³ ; Wysocki, Kris⁴ ; Zehnder, Eduard⁵

¹ Universite Libre de Bruxelles, B-1050 Bruxelles, Belgium
² Stanford University, Stanford, California 94305-2125, USA
³ Courant Institute, New York, New York 10012, USA
⁴ The University of Melbourne, Parkville, Victoria 3010, Australia
⁵ ETH Zentrum, CH-8092 Zurich, Switzerland

Geometry & topology, Tome 7 (2003) no. 2, pp. 799-888.

Résumé

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.

Détail

DOI : 10.2140/gt.2003.7.799

Keywords: symplectic field theory, Gromov compactness, contact geometry, holomorphic curves

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