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A note on the cardinality of Lagrangian packings

Symplectic Geometry 2026-04-23 v1

Abstract

Given a symplectic manifold, can one pack uncountably many Lagrangian submanifolds in a given Hamiltonian isotopy class of this symplectic manifold? We address CC^\infty and C0C^0 versions of this question.

Keywords

Cite

@article{arxiv.2604.20628,
  title  = {A note on the cardinality of Lagrangian packings},
  author = {Joé Brendel and Jean-Philippe Chassé and Laurent Côté},
  journal= {arXiv preprint arXiv:2604.20628},
  year   = {2026}
}

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12 pages