3 papers
math.SG2025
Smooth perfectness of Hamiltonian diffeomorphism groups
Oliver Edtmair
A fundamental result of Banyaga states that the Hamiltonian diffeomorphism group of a closed symplectic manifold is perfect. We refine this result by proving that, locally in the $…
math.SG2025
Packing stability and the subleading asymptotics of symplectic Weyl laws
Oliver Edtmair
We prove that symplectic ball packing stability holds for every compact, connected symplectic -manifold with smooth boundary. This follows from a stronger result: the full volum…
math.SG2025
A universal extension of helicity to topological flows
Oliver Edtmair, Sobhan Seyfaddini
Helicity is a fundamental conserved quantity in physical systems governed by vector fields whose evolution is described by volume-preserving transformations on a three-manifold. No…