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More counterexamples to Lagrangian Poincaré recurrence in dimension four

2025/07/18 by Schmitz, Joel
#37J11 #53D12 #53D20 #Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2507.13924

Abstract

In earlier work, we constructed counterexamples to Lagrangian Poincaré 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

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