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arXiv · 2610.37718

A short proof of the universality of the fundamental shadow links

Yuxuan Yang
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Abstract

We give a constructive three-dimensional proof of Costantino and Thurston's universality theorem for fundamental shadow links. More precisely, every compact connected oriented three-manifold with empty or toroidal boundary can be obtained by integral Dehn filling along a subset of the boundary components of a fundamental shadow link exterior.

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Yuxuan Yang. 2026-10-27. A short proof of the universality of the fundamental shadow links. https://arxiv.org/abs/2610.37718

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