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Hofer's geometry and Floer theory under the quantum limit

Ely Kerman
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Abstract

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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Ely Kerman. 2007-10-04. Hofer's geometry and Floer theory under the quantum limit. https://arxiv.org/abs/math/0703064

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