Unboundedness of the Lagrangian Hofer distance in the Euclidean ball

Abstract

Let L denote the space of Lagrangians Hamiltonian isotopic to the standard Lagrangian in the unit ball in Euclidean space. We prove that the Lagrangian Hofer distance on L is unbounded.

8 pages

References in corpus (5)

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• Descent and C^0-rigidity of spectral invariants on monotone symplectic manifolds
• New energy-capacity-type inequalities and uniqueness of continuous Hamiltonians
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Cited by in corpus (4)

• Quasi-morphisms and quasi-states in symplectic topology
• Bavard's duality theorem on conjugation-invariant norms
• Heavy subsets and non-contractible trajectories
• On a family of Lagrangian submanifolds in bidisks and Lagrangian Hofer metric