4 citations · 4 across the 6 of their papers we have counts for
6 papers
KAM splittings and equidistributed periodic orbits for stable hypersurfaces
Robert Cardona, Oliver Edtmair, Rohil Prasad
We show that any stable hypersurface of a symplectic -manifold, on which the cohomology class of the symplectic form restricts to a multiple of a rational class, can be $C^\inft…
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 $…
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…
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…
An elementary alternative to PFH spectral invariants
Oliver Edtmair
Inspired by Hutchings' elementary alternative to ECH capacities, we introduce an elementary alternative to spectral invariants defined via periodic Floer homology (PFH). We use the…
PFH spectral invariants and closing lemmas
Oliver Edtmair, Michael Hutchings
We develop the theory of spectral invariants in periodic Floer homology (PFH) of area-preserving surface diffeomorphisms. We use this theory to prove closing lemmas for…