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math.SG2019★ 1 cited
Quasimorphisms on surfaces and continuity in the Hofer norm
Michael Khanevsky
There is a number of known constructions of quasimorphisms on Hamiltonian groups. We show that on surfaces many of these quasimorphisms are not compatible with the Hofer norm in a…
math.SG2019
Non-autonomous curves on surfaces
Michael Khanevsky
Consider a symplectic surface with two properly embedded Hamiltonian isotopic curves and . Suppose is a Hamiltonian diffeomorphism which sends to $L…