Hofer's geometry and Floer theory under the quantum limit

Details Hofer's geometry and Floer theory under the quantum limit Hofer's geometry and Floer theory under the quantum limit

2007-03-02

arxiv.org/abs/math/0703064v2

Mathematics

Symplectic Geometry

This is major revision. Section 2 has been completely reworked to correct a gap in the previous version of Proposition 2.5. Th

Scientific paper

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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