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arXiv · 2408.14936

On invariant line fields of rational functions

Genadi Levin
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Abstract

Adopting the approach of [7] we study rational function carrying invariant line fields on the Julia set. In particular, we show that under certain weak conditions all possible measurable invariant line fields of a rational function on its Julia set are determined, in a precise sense, by a finite list of canonically defined holomorphic line fields.

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Genadi Levin. 2024-08-27. On invariant line fields of rational functions. https://arxiv.org/abs/2408.14936

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