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Entropy and quasimorphisms

Brandenbursky, Michael ; Marcinkowski, Michał



Abstract

Let S be a compact oriented surface. We construct homogeneous quasimorphisms on Diff(S, area), on Diff(0)(S, area), and on Ham(S), generalizing the constructions of Gambaudo-Ghys and Polterovich. We prove that there are infinitely many linearly independent homogeneous quasimorphisms on Diff(S, area), on Diff(0)(S, area), and on Ham(S) whose absolute values bound from below the topological ...

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