## Geometry & Topology

### Compactness results in Symplectic Field Theory

#### 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.

#### Article information

Source
Geom. Topol., Volume 7, Number 2 (2003), 799-888.

Dates
Accepted: 13 November 2003
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.gt/1513883324

Digital Object Identifier
doi:10.2140/gt.2003.7.799

Mathematical Reviews number (MathSciNet)
MR2026549

Zentralblatt MATH identifier
1131.53312

#### Citation

Bourgeois, Frederic; Eliashberg, Yakov; Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard. Compactness results in Symplectic Field Theory. Geom. Topol. 7 (2003), no. 2, 799--888. doi:10.2140/gt.2003.7.799. https://projecteuclid.org/euclid.gt/1513883324

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