# On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus

@article{Brandenbursky2016OnTA,
title={On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus},
author={Michael Brandenbursky and Jarek Kȩdra and Egor Shelukhin},
journal={arXiv: Symplectic Geometry},
year={2016}
}
• Published 10 February 2016
• Mathematics
• arXiv: Symplectic Geometry
We prove that the autonomous norm on the group of Hamiltonian diffeomorphisms of the two-dimensional torus is unbounded. We provide explicit examples of Hamiltonian diffeomorphisms with arbitrarily large autonomous norm. For the proofs we construct quasimorphisms on $Ham(T^2)$ and some of them are Calabi.

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