10.4064/fm351-11-2017">
 

Presentations of NET maps

Document Type

Article

Publication Date

2019

Department/School

Mathematics

Publication Title

Fundamenta Mathematicae

Abstract

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

10.4064/fm351-11-2017

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