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arXiv · 1307.5704

The displaced disks problem via symplectic topology

Sobhan Seyfaddini
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Abstract

We prove that a $C^0$--small area preserving homeomorphism of a closed surface with vanishing mass flow can not displace a topological disk of large area. This resolves the displaced disks problem posed by F. B\'eguin, S. Crovisier, and F. Le Roux.

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Sobhan Seyfaddini. 2013-07-22. The displaced disks problem via symplectic topology. https://doi.org/10.1016/j.crma.2013.10.007

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