Coherent orientations in symplectic field theory

We study the coherent orientations of the moduli spaces of holomorphic curves in Symplectic Field Theory, generalizing a construction due to Floer and Hofer. In particular we examine their behavior at multiple closed Reeb orbits under change of the asymptotic direction. The orientations are determin...

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Veröffentlicht in:Mathematische Zeitschrift 2004-09, Vol.248 (1), p.123-146
Hauptverfasser: Bourgeois, Fr d ric, Mohnke, Klaus
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the coherent orientations of the moduli spaces of holomorphic curves in Symplectic Field Theory, generalizing a construction due to Floer and Hofer. In particular we examine their behavior at multiple closed Reeb orbits under change of the asymptotic direction. The orientations are determined by a certain choice of orientation at each closed Reeb orbit, that is similar to the orientation of the unstable tangent spaces of critical points in finite--dimensional Morse theory.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-004-0656-x