Hofer's norm and disk translations in an annulus

2011/11/08 by Khanevsky, Michael
#Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1111.1923

Abstract

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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