Journal of Symplectic Geometry
Volume 14 (2016)
Hamiltonian commutators with large Hofer norm
Pages: 1175 – 1188
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 the question presented byMcDuff and Polterovich in “Problem session”, [D. McDuff, Oberwolfach Reports 33 (2006), 2049–2051].