Hamiltonian commutators with large Hofer norm
arXiv:1409.7420 · doi:10.4310/JSG.2016.v14.n4.a7
Abstract
We show that commutators of Hamiltonian diffeomorphisms may have arbitrarily large Hofer norm. The proposed technique is applicable to positive genus surfaces and their products. This gives partial answer to a question by McDuff and Polterovich.
arXiv comment9 pages; updated to incorporate referee's remarks, to appear in the Journal of Symplectic Geometry