English

The displaced disks problem via symplectic topology

Dynamical Systems 2021-01-28 v1 Symplectic Geometry

Abstract

We prove that a C0C^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.

Keywords

Cite

@article{arxiv.1307.5704,
  title  = {The displaced disks problem via symplectic topology},
  author = {Sobhan Seyfaddini},
  journal= {arXiv preprint arXiv:1307.5704},
  year   = {2021}
}

Comments

3 pages