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arxiv: math/9801054 · v1 · submitted 1998-01-12 · 🧮 math.DG

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Hofer's diameter and Lagrangian intersections

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keywords diameterhoferintersectionslagrangianapproachdiffeomorphismsgrouphamiltonian
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We prove that the group of Hamiltonian diffeomorphisms of the 2-sphere has infinite diameter with respect to Hofer's metric. Our approach is based on the theory of Lagrangian intersections.

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