Thurston's theorem and the Nielsen-Thurston classification via Teichm\"uller's theorem

James Belk; Dan Margalit; Rebecca R. Winarski

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arXiv · 2309.06993

Thurston's theorem and the Nielsen-Thurston classification via Teichm\"uller's theorem

James Belk·Dan Margalit·Rebecca R. Winarski

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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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James Belk, Dan Margalit, Rebecca R. Winarski. 2023-09-13. Thurston's theorem and the Nielsen-Thurston classification via Teichm\"uller's theorem. https://arxiv.org/abs/2309.06993

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