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arXiv · 1602.03287

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

Michael Brandenbursky·Jarek Kedra·Egor Shelukhin
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Abstract

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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Michael Brandenbursky, Jarek Kedra, Egor Shelukhin. 2016-02-10. On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus. https://arxiv.org/abs/1602.03287

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