Embeddings of free groups into asymptotic cones of Hamiltonian diffeomorphisms

Autor:	Alvarez-Gavela, Daniel, Kaminker, Victoria, Kislev, Asaf, Kliakhandler, Konstantin, Pavlichenko, Andrei, Rigolli, Lorenzo, Rosen, Daniel, Shabtai, Ood, Stevenson, Bret, Zhang, Jun
Rok vydání:	2016
Předmět:	Mathematics - Symplectic Geometry Mathematics - Dynamical Systems 53Dxx 37Jxx 20F65
Druh dokumentu:	Working Paper
DOI:	10.1142/S1793525319500213
Popis:	Given a symplectic surface $(\Sigma, \omega)$ of genus $g \ge 4$, we show that the free group with two generators embeds into every asymptotic cone of $(\mathrm{Ham}(\Sigma, \omega), d_\mathrm{H})$, where $d_\mathrm{H}$ is the Hofer metric. The result stabilizes to products with symplectically aspherical manifolds. Comment: 32 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1602.05842 Zobrazit plný text záznamu View this record from Arxiv