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arXiv · 2603.07731

Topological symplectic manifolds and bi-Lipschitz structures

Dan Cristofaro-Gardiner·Boyu Zhang
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Abstract

We show that a topological symplectic manifold has a canonically associated bi-Lipschitz structure. As a corollary, we obtain the first examples of non-existence and non-uniqueness for topological symplectic structures. Our arguments hold for any topological manifold admitting an atlas with transition maps that are $C^0$--limits of bi-Lipschitz homeomorphisms.

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Dan Cristofaro-Gardiner, Boyu Zhang. 2026-03-08. Topological symplectic manifolds and bi-Lipschitz structures. https://arxiv.org/abs/2603.07731

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