Hofer's norm and disk translations in an annulus

Details Hofer's norm and disk translations in an annulus Hofer's norm and disk translations in an annulus

2011-11-08

arxiv.org/abs/1111.1923v1

Mathematics

Symplectic Geometry

7 pages

Scientific paper

Let D be a non-displaceable disk in an annulus A. Suppose that g is a
compactly supported Hamiltonian which preserves D with translation number n. We
show that Hofer's norm |g| is bounded from below by cn for a certain constant
c. We also give example of such Hamiltonian which is more efficient than the
obvious rotation of D.

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