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math.DS2025
Transitivity and an abelian Livsic theorem for covers
Mark Pollicott, Richard Sharp
We show that the abelian Livšic theorem recently obtained by A. Gogolev and F. Rodriguez Hertz for null-homologous periodic orbits of homologically full Anosov flows continues to h…
math.DS2024
Abelian Livsic theorems for Anosov flows
Richard Sharp
We give two short proofs of the abelian Livsič theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livsic theorems for positive de…