PreprintarXiv licencearXiv
A short proof of the universality of the fundamental shadow links
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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BibTeX
@misc{yang2026short,
title = {{A short proof of the universality of the fundamental shadow links}},
author = {Yuxuan Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37718},
eprint = {2610.37718},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37718},
}
RIS
TY - UNPB
TI - A short proof of the universality of the fundamental shadow links
AU - Yuxuan Yang
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37718
UR - https://arxiv.org/abs/2610.37718
AB - 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.
ER -