A note on the cardinality of Lagrangian packings

2026/04/22 by Joé Brendel, Jean-Philippe Chassé, Laurent Côté · 1 voice
Mathematics · #math.SG

paper · pdf

Abstract

Given a symplectic manifold, can one pack uncountably many Lagrangian submanifolds in a given Hamiltonian isotopy class of this symplectic manifold? We address C^∞ and C⁰ versions of this question.

Citations

• Hamiltonian Classification of toric fibres and symmetric probes
• Lagrangian configurations and Hamiltonian maps
• Coisotropic rigidity and C0-symplectic geometry
• C⁰-limits of Hamiltonian paths and the Oh-Schwarz spectral invariants
• A theorem on the structure of wave fronts and its applications in symplectic topology

Discussions

• Jo\'e Brendel, Jean-Philippe Chass\'e, Laurent C\^ot\'e: A note on the cardinality of Lagrangian packings https://arxiv.org/abs/2604.20628 https://arxiv.org/pdf/2604.20628 https://arxiv.org/html/2604. [bsky, 0 points, 0 comments]

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