The displaced disks problem via symplectic topology

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. Béguin, S. Crovisier, and F. Le Roux.

3 pages

References in corpus (2)

• Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds
• C^0-limits of Hamiltonian paths and the Oh-Schwarz spectral invariants

Cited by in corpus (6)

• The action spectrum and C^0 symplectic topology
• Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces
• Proof of the simplicity conjecture
• Quantitative Heegaard Floer cohomology and the Calabi invariant
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• PIGTIKAL (puzzles in geometry that I know and love)