Thurston's theorem and the Nielsen-Thurston classification via Teichm\"uller's theorem
Geometric Topology
2023-09-14 v1 Dynamical Systems
Abstract
We give a unified and self-contained proof of the Nielsen-Thurston classification theorem from the theory of mapping class groups and Thurston's characterization of rational maps from the theory of complex dynamics (plus various extensions of these). Our proof follows Bers' proof of the Nielsen-Thurston classification.
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Cite
@article{arxiv.2309.06993,
title = {Thurston's theorem and the Nielsen-Thurston classification via Teichm\"uller's theorem},
author = {James Belk and Dan Margalit and Rebecca R. Winarski},
journal= {arXiv preprint arXiv:2309.06993},
year = {2023}
}
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36 pages, 0 figures