TL;DR
This paper investigates Hofer's metric on the space of diameters in the unit disk, demonstrating that the distance can be arbitrarily large and exploring its connection to Lagrangian intersection theory.
Contribution
It establishes the unboundedness of Hofer's distance between diameters and links it to Lagrangian intersection properties.
Findings
Hofer's distance between diameters is unbounded.
The paper relates Hofer's metric to Lagrangian intersections.
Provides new insights into symplectic geometry of the disk.
Abstract
The present paper considers Hofer's distance between diameters in the unit disk. We prove that this distance is unbounded and show its relation to Lagrangian intersections.
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