Presentations of NET maps

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.


Publication Date:
Jan 02 2017
Date Submitted:
Aug 10 2018
ISSN:
1088-4173
Citation:
Fundamenta Mathematica
Note:
A freely accessible, full text version is available using the link(s) in External Resources.
External Resources:




 Record created 2018-08-10, last modified 2019-04-03


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