Topological symplectic manifolds and bi-Lipschitz structures

2026/03/08 by Dan Cristofaro-Gardiner, Boyu Zhang · 1 voice
Mathematics · #math.SG

paper · pdf

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 C⁰--limits of bi-Lipschitz homeomorphisms.

Citations

• Quasiconformal 4-manifolds

Discussions

• Dan Cristofaro-Gardiner, Boyu Zhang: Topological symplectic manifolds and bi-Lipschitz structures https://arxiv.org/abs/2603.07731 https://arxiv.org/pdf/2603.07731 https://arxiv.org/html/2603.07731 [bsky, 0 points, 0 comments]

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