Abstract
Given a symplectic surface (σ,ω) of genus g ≥ 4, we show that the free group with two generators embeds into every asymptotic cone of (Ham(σ,ω),dH), where dH is the Hofer metric. The result stabilizes to products with symplectically aspherical manifolds.
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APA
Alvarez-Gavela, D., Kaminker, V., Kislev, A., Kliakhandler, K., Pavlichenko, A., Rigolli, L., … Zhang, J. (2019). Embeddings of free groups into asymptotic cones of Hamiltonian diffeomorphisms. Journal of Topology and Analysis, 11(2), 467–498. https://doi.org/10.1142/S1793525319500213
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