Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 39 min ago
PreprintarXiv licencearXiv

Purely cosmetic surgeries on knots with low-span Jones polynomials

  • Kazuhiro Ichihara
Open at sourcePDFDOICite

Abstract

In this paper, we show that a knot with a nontrivial Jones polynomial of span at most 11 does not admit purely cosmetic surgery.

Related

  1. Purely cosmetic surgeries on knots with low-span Jones polynomials, II
    Kazuhiro Ichihara, Kengo Kishimoto
    arXivPreprintCC0Full textGeometry & topologyarXiv
  2. L-space surgeries on (1,1)-knots in S1× S2
    Qingfeng Lyu, Zipei Nie
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  3. Lens space surgeries on knots of small genus
    Misha Schmalian, Steven Sivek
    arXivPreprintCC BY 4.0Full textGeometry & topologyarXiv
  4. Tight surgeries on torus knots
    John B. Etnyre, Hyunki Min, Bülent Tosun +1
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  5. Cobordism of algebraic knots defined by Brieskorn polynomials, II}
    Vincent Blanloeil, Osamu Saeki
    Journal of SingularitiesPeer-reviewedPublisher termsFull textAnalysis & PDEsHAL

Cite

BibTeXRIS
BibTeX
@misc{ichihara2026purely,
  title = {{Purely cosmetic surgeries on knots with low-span Jones polynomials}},
  author = {Kazuhiro Ichihara},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.32507},
  eprint = {2609.32507},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.32507},
}
RIS
TY  - UNPB
TI  - Purely cosmetic surgeries on knots with low-span Jones polynomials
AU  - Kazuhiro Ichihara
PY  - 2026
DA  - 2026/09/26
PB  - arXiv
DO  - 10.48550/arxiv.2609.32507
UR  - https://arxiv.org/abs/2609.32507
AB  - In this paper, we show that a knot with a nontrivial Jones polynomial of span at most 11 does not admit purely cosmetic surgery.
ER  -