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math.SG2026
The symplectic Hadamard question
Dan Cristofaro-Gardiner
We show that a simply connected symplectic manifold admitting a complete nonpositively curved compatible metric is symplectomorphic to R^{2n} with its standard symplectic form. Thi…
math.SG2026
Topological symplectic manifolds and bi-Lipschitz structures
Dan Cristofaro-Gardiner, Boyu Zhang
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…