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Canonical embeddings of pairs of arcs (2101.00088v2)

Published 31 Dec 2020 in math.CV

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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