More counterexamples to Lagrangian Poincar\'e recurrence in dimension four
Symplectic Geometry
2025-08-14 v2 Dynamical Systems
Abstract
In earlier work, we constructed counterexamples to Lagrangian Poincar\'e recurrence for many toric symplectic four manifolds. Here we provide a few more examples extending the family of counterexamples to include all non-monotone toric symplectic four manifolds. This work has been incorporated into arXiv:2506.23754v2 Section 3.3
Keywords
Cite
@article{arxiv.2507.13924,
title = {More counterexamples to Lagrangian Poincar\'e recurrence in dimension four},
author = {Joel Schmitz},
journal= {arXiv preprint arXiv:2507.13924},
year = {2025}
}
Comments
5 pages, 4 figures; v2: added note referring to arXiv:2506.23754v2