Topological symplectic manifolds and bi-Lipschitz structures.

This paper investigates the interplay between the topological and geometric properties of symplectic manifolds by establishing a connection to bi-Lipschitz structures. The authors demonstrate that every topological symplectic manifold admits a canonically associated bi-Lipschitz structure. This result has significant implications for understanding the rigidity and flexibility of symplectic structures from a coarser, topological viewpoint, potentially leading to new insights in the classification of symplectic manifolds and their applications in areas such as theoretical physics and geometric analysis.