标题： NET 映射的表示 显示英文标题

标题： Presentations of NET maps

摘要： 一个分支覆盖$f: S^2 \to S^2$是一个几乎欧几里得的 Thurston (NET) 映射，如果每个临界点都是简单的，并且其临界后集恰好有四个点。 我们证明，到等价性而言，每个 NET 映射都可以用简单仿射数据的形式表示其规范形式。 然后可以将此数据作为输入，用于计算基本不变量的算法，现在系统地列在一份大型普查中。 显示英文摘要

摘要： 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.