Bret Stevenson

most citedEmbeddings of free groups into asymptotic cones of Hamiltonian diffeomorphisms

7 citations · 7 across the 1 of their papers we have counts for

collaborators

2 papers

math.SG2016

A quasi-isometric embedding into the group of Hamiltonian diffeomorphisms with Hofer's metric

Bret Stevenson

We construct an embedding $Φ$ of $[0, 1]^{\infty}$ into $H am (M, ω)$ , the group of Hamiltonian diffeomorphisms of a suitable closed symplectic manifold $(M, ω)$ . We then prove that $…

math.SG2016★ 7 cited

Embeddings of free groups into asymptotic cones of Hamiltonian diffeomorphisms

Daniel Alvarez-Gavela, Victoria Kaminker, Asaf Kislev +7

Given a symplectic surface $(Σ, ω)$ of genus $g \geq 4$ , we show that the free group with two generators embeds into every asymptotic cone of $(Ham (Σ, ω), d_{H})$ , w…