# Presentations of NET maps

@article{Floyd2017PresentationsON,
title={Presentations of NET maps},
author={W. Floyd and W. Parry and K. Pilgrim},
journal={arXiv: Dynamical Systems},
year={2017}
}
• Published 2017
• Mathematics
• arXiv: Dynamical Systems
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.
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