Presentations of NET maps
Volume 244 / 2019
Fundamenta Mathematicae 244 (2019), 49-72
MSC: Primary 37F10; Secondary 57M12.
DOI: 10.4064/fm351-11-2017
Published online: 16 July 2018
Abstract
A branched covering $f\colon S^2 \to S^2$ 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.
