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PreprintarXiv licencearXiv

A counterexample to the wrapping number conjecture

  • Qiuyu Ren
Open at sourcePDFDOICite

Abstract

We exhibit an annular knot with wrapping number four whose Kauffman bracket has annular degree at most two. This disproves the wrapping number conjecture.

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Cite

BibTeXRIS
BibTeX
@misc{ren2026counterexample,
  title = {{A counterexample to the wrapping number conjecture}},
  author = {Qiuyu Ren},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11084},
  eprint = {2609.11084},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11084},
}
RIS
TY  - UNPB
TI  - A counterexample to the wrapping number conjecture
AU  - Qiuyu Ren
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.11084
UR  - https://arxiv.org/abs/2609.11084
AB  - We exhibit an annular knot with wrapping number four whose Kauffman bracket has annular degree at most two. This disproves the wrapping number conjecture.
ER  -