A counterexample to Lagrangian Poincaré recurrence in dimension four
arXiv:2410.24102 · doi:10.1112/S0010437X2510239X
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.
7 pages, 3 figures; v2: added Remark 3.5; v3: refined Remark 3.5; v4: some clarifications, added Remark 2.1