Coherent Orientations in Symplectic Field Theory

Details Coherent Orientations in Symplectic Field Theory Coherent Orientations in Symplectic Field Theory

2001-02-13

arxiv.org/abs/math/0102095v2

Mathematics

Symplectic Geometry

24 pages, analytical details added

Scientific paper

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.

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