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PreprintarXiv licencearXiv

Linearity of Graph Manifold Groups

  • Daniel T. Wise
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Abstract

We complete the proof that every compact 3-manifold group is linear. Specifically, we construct a faithful representation in GL5(Q[u]) for a finite-index subgroup of every closed non-geometric graph-manifold group.

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Cite

BibTeXRIS
BibTeX
@misc{wise2026linearity,
  title = {{Linearity of Graph Manifold Groups}},
  author = {Daniel T. Wise},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13801},
  eprint = {2610.13801},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13801},
}
RIS
TY  - UNPB
TI  - Linearity of Graph Manifold Groups
AU  - Daniel T. Wise
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13801
UR  - https://arxiv.org/abs/2610.13801
AB  - We complete the proof that every compact 3-manifold group is linear. Specifically, we construct a faithful representation in GL5(Q[u]) for a finite-index subgroup of every closed non-geometric graph-manifold group.
ER  -