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arXiv · 2509.23277

Hofer-continuous quasi-morphisms on Liouville manifolds

Frol Zapolsky
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Abstract

We show that, given a complete Liouville manifold, any homogeneous quasi-morphism on its Hamiltonian group, which satisfies a strengthened version of Hofer continuity called stability, must vanish. This partially addresses a conjecture due to L. Polterovich.

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Frol Zapolsky. 2025-09-27. Hofer-continuous quasi-morphisms on Liouville manifolds. https://arxiv.org/abs/2509.23277

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