Canonical embeddings of pairs of arcs

Mario Bonk; Alexandre Eremenko

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arXiv · 2101.00088

Canonical embeddings of pairs of arcs

Mario Bonk·Alexandre Eremenko

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Abstract

We show that for given four points in the Riemann sphere and a given isotopy class of two disjoint arcs connecting these points in two pairs, there exists a unique configuration with the property that each arc is a hyperbolic geodesic segment in the complement of the other arc.

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Mario Bonk, Alexandre Eremenko. 2020-12-31. Canonical embeddings of pairs of arcs. https://arxiv.org/abs/2101.00088

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