Hofer's geometry and Floer theory under the quantum limit
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🧮 math.SG
math.DG
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floerhamiltonianhoferlengthpropertiesshorttheorydiffeomorphisms
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In this paper, we use Floer theory to study the Hofer length functional for paths of Hamiltonian diffeomorphisms which are sufficiently short. In particular, the length minimizing properties of a short Hamiltonian path are related to the properties and number of its periodic orbits.
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