Presentations of NET maps
A branched covering f : S2 → S2 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.
Link to Published Version
Floyd, W., Parry, W., & Pilgrim, K. M. (2019). Presentations of NET maps. Fundamenta Mathematicae, 244(1), 49–72. https://doi.org/10.4064/fm351-11-2017