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PreprintarXiv licencearXiv

On the BNSR invariants of $2$-knot groups

  • Yuta Nozaki
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Abstract

For a finitely generated group G, the Bieri--Neumann--Strebel--Renz (BNSR) invariants are subsets of the character sphere of G that govern the finiteness properties of normal subgroups containing the commutator subgroup. We investigate the BNSR invariants of $2$-knot groups and link groups. As an application, we prove Yasuda's conjecture that every non-trivial $2$-plat $2$-knot is non-fibered.

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Cite

BibTeXRIS
BibTeX
@misc{nozaki2026bnsr,
  title = {{On the BNSR invariants of $2$-knot groups}},
  author = {Yuta Nozaki},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.02978},
  eprint = {2606.02978},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.02978},
}
RIS
TY  - UNPB
TI  - On the BNSR invariants of $2$-knot groups
AU  - Yuta Nozaki
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2606.02978
UR  - https://arxiv.org/abs/2606.02978
AB  - For a finitely generated group G, the Bieri--Neumann--Strebel--Renz (BNSR) invariants are subsets of the character sphere of G that govern the finiteness properties of normal subgroups containing the commutator subgroup. We investigate the BNSR invariants of $2$-knot groups and link groups. As an application, we prove Yasuda's conjecture that every non-trivial $2$-plat $2$-knot is non-fibered.
ER  -