English

A counterexample to Lagrangian Poincar\'e recurrence

Symplectic Geometry 2024-10-10 v2 Dynamical Systems

Abstract

We provide a counterexample to the Lagrangian Poincar\'e recurrence conjecture of Ginzburg and Viterbo in all dimensions 66 and greater.

Cite

@article{arxiv.2409.14225,
  title  = {A counterexample to Lagrangian Poincar\'e recurrence},
  author = {Filip Broćić and Egor Shelukhin},
  journal= {arXiv preprint arXiv:2409.14225},
  year   = {2024}
}

Comments

5 pages; simplified the argument and corrected a mistake

R2 v1 2026-06-28T18:52:30.634Z