A counterexample to Lagrangian Poincaré recurrence in dimension four

Abstract

Counterexamples to Lagrangian Poincaré recurrence were recently found in dimensions greater than six by Broćić and Shelukhin. We construct counterexamples in dimension four using almost toric fibrations.

arXiv comment7 pages, 3 figures; v2: added Remark 3.5; v3: refined Remark 3.5; v4: some clarifications, added Remark 2.1

References in corpus (2)

• Hamiltonian Pseudo-rotations of Projective Spaces
• A Hölder-type inequality for the $C^0$ distance and Anosov-Katok pseudo-rotations