Topological symplectic manifolds and bi-Lipschitz structures
Symplectic Geometry
2026-03-10 v1
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 --limits of bi-Lipschitz homeomorphisms.
Cite
@article{arxiv.2603.07731,
title = {Topological symplectic manifolds and bi-Lipschitz structures},
author = {Dan Cristofaro-Gardiner and Boyu Zhang},
journal= {arXiv preprint arXiv:2603.07731},
year = {2026}
}
Comments
31 pages, comments are welcome