On the existence of disk-like global sections for Reeb flows on the tight 3-sphere

Abstract

We consider Reeb dynamics on the 3-sphere associated to a tight contact form. Our main result gives necessary and sufficient conditions for a periodic Reeb orbit to bound a disk-like global section for the Reeb flow, when the contact form is assumed to be non-degenerate.

39 pages, 3 figures. To appear in the Duke Mathematical Journal

References in corpus (1)

• Compactness results in Symplectic Field Theory

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