Hamiltonian commutators with large Hofer norm
Symplectic Geometry
2021-06-15 v2
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.
Keywords
Cite
@article{arxiv.1409.7420,
title = {Hamiltonian commutators with large Hofer norm},
author = {Michael Khanevsky},
journal= {arXiv preprint arXiv:1409.7420},
year = {2021}
}
Comments
9 pages; updated to incorporate referee's remarks, to appear in the Journal of Symplectic Geometry