PreprintCC BY 4.0arXiv
$3$-manifold groups are linear
Abstract
We prove that the fundamental group of every compact graph $3$-manifold is linear over the complex numbers. As a corollary, all fundamental groups of compact $3$-manifolds are linear over the complex numbers.
Related
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BibTeX
@misc{wu20263manifold,
title = {{$3$-manifold groups are linear}},
author = {Xiaolei Wu and Shengkui Ye},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17608},
eprint = {2610.17608},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17608},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - $3$-manifold groups are linear
AU - Xiaolei Wu
AU - Shengkui Ye
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.17608
UR - https://arxiv.org/abs/2610.17608
AB - We prove that the fundamental group of every compact graph $3$-manifold is linear over the complex numbers. As a corollary, all fundamental groups of compact $3$-manifolds are linear over the complex numbers.
ER -