Thurston's Bounded image theorem

Cyril Lecuire; Ken'ichi Ohshika

doi:10.2140/gt.2024.28.2971

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arXiv · 2209.05023

Thurston's Bounded image theorem

Cyril Lecuire·Ken'ichi Ohshika

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Abstract

Thurston's bounded image theorem is one of the key steps in his proof of the uniformisation theorem for Haken manifolds. Thurston never published its proof, and no proof has been known up to today, although a proof of its weaker version, called the bounded orbit theorem is known. In this paper, we give a proof of the original bounded image theorem, relying on recent development of Kleinian group theory.

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Cyril Lecuire, Ken'ichi Ohshika. 2022-09-12. Thurston's Bounded image theorem. https://doi.org/10.2140/gt.2024.28.2971

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