Embeddings of free groups into asymptotic cones of Hamiltonian diffeomorphisms
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Given a symplectic surface [Formula: see text] of genus [Formula: see text], we show that the free group with two generators embeds into every asymptotic cone of [Formula: see text], where [Formula: see text] is the Hofer metric. The result stabilizes to products with symplectically aspherical manifolds.
1949 ◽
Vol 1
(2)
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pp. 187-190
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1998 ◽
Vol 41
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pp. 325-332
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2003 ◽
Vol 53
(5)
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pp. 1503-1526
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2019 ◽
Vol 12
(2)
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pp. 590-604
2015 ◽
Vol 159
(1)
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pp. 89-114
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1981 ◽
Vol 24
(2)
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pp. 129-136
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2006 ◽
Vol 16
(06)
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pp. 1031-1045
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2005 ◽
Vol 14
(08)
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pp. 1087-1098
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