Geometry & Topology 7 (2003) 799–888

DOI: 10.2140/gt.2003.7.799

arXiv: math.SG/0308183

Abstract

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

Mathematical Subject Classification

Primary: 53D30

Secondary: 53D05, 53D35, 57R17

References

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Publication

Received: 19 August 2003
Accepted: 13 November 2003
Published: 4 December 2003
Proposed: Leonid Polterovich
Seconded: Robion Kirby, Simon Donaldson

Authors