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arXiv · 1901.10774

Constructing Strebel differentials via Belyi maps on the Riemann sphere

Jijian Song·Bin Xu
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Abstract

In this manuscript, by using Belyi maps and dessin d'enfants, we construct some concrete examples of Strebel differentials with four double poles on the Riemann sphere. As an application, we could give some explicit cone spherical metrics on the Riemann sphere.

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Jijian Song, Bin Xu. 2019-01-30. Constructing Strebel differentials via Belyi maps on the Riemann sphere. https://doi.org/10.1007/s40315-020-00302-3

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