Arnol'd's chord conjecture is proved for weakly non-orderable contact manifolds satisfying a sharp Lagrangian displacement-energy bound, including many prequantization and Brieskorn manifolds.
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On orderability and the chord conjecture
Arnol'd's chord conjecture is proved for weakly non-orderable contact manifolds satisfying a sharp Lagrangian displacement-energy bound, including many prequantization and Brieskorn manifolds.