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arXiv · 2512.03699

Transitivity and an abelian Livsic theorem for covers

Mark Pollicott·Richard Sharp
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Abstract

We show that the abelian Liv\v{s}ic theorem recently obtained by A. Gogolev and F. Rodriguez Hertz for null-homologous periodic orbits of homologically full Anosov flows continues to hold when restricted to periodic orbits which are trivial with respect to any regular cover for which the lifted flow is transitive.

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Mark Pollicott, Richard Sharp. 2025-12-03. Transitivity and an abelian Livsic theorem for covers. https://arxiv.org/abs/2512.03699

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