Math Papers

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Coherent Orientations in Symplectic Field Theory
joint work with Klaus Mohnke,
Mathematische Zeitschrift 248 (2004) No. 1, 123-146.

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We study the coherent orientations of the moduli spaces of 'trajectories' in Symplectic Field Theory, following the lines of Floer & Hofer. In particular we examine their behavior at multiple closed Reeb orbits under change of the asymptotic direction. Analogous to the orientation of the unstable tangent spaces of critical points in finite dimensional Morse theory, the orientations are determined by a certain choice of orientation at each closed Reeb orbit.

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This paper appeared in Mathematische Zeitschrift.

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