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arXiv · 1701.00443

Presentations of NET maps

William Floyd·Walter Parry·Kevin M. Pilgrim
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Abstract

A branched covering $f: S^2 \to S^2$ is a nearly Euclidean Thurston (NET) map if each critical point is simple and its postcritical set has exactly four points. We show that up to equivalence, each NET map admits a normal form in terms of simple affine data. This data can then be used as input for algorithms developed for the computation of fundamental invariants, now systematically tabulated in a large census.

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William Floyd, Walter Parry, Kevin M. Pilgrim. 2017-01-02. Presentations of NET maps. https://arxiv.org/abs/1701.00443

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