Math Papers

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A note on Reeb dynamics on the tight 3-sphere
joint work with Kai Cieliebak and Tobias Ekholm,
Journal of Modern Dynamics 1 (2007) No. 4, 597-613.

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We show that a nondegenerate tight contact form on the 3-sphere has exactly two simple closed Reeb orbits if and only if the differential in linearized contact homology vanishes. Moreover, in this case the Floquet multipliers and Conley-Zehnder indices of the two Reeb orbits agree with those of a suitable irrational ellipsoid in 4-space.

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This paper appeared in Journal of Modern Dynamics.

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