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PreprintarXiv licencearXiv

L-space surgeries on (1,1)-knots in S1× S2

  • Qingfeng Lyu
  • Zipei Nie
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Abstract

We extend the diagrammatic criterion for (1,1) L-space knots by Greene, Lewallen, and Vafaee to (1,1)-knots in S1× S2. We also discuss applications to L-space surgeries on two-bridge links.

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Cite

BibTeXRIS
BibTeX
@misc{lyu2026lspace,
  title = {{L-space surgeries on (1,1)-knots in $S^1\times S^2$}},
  author = {Qingfeng Lyu and Zipei Nie},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.30925},
  eprint = {2608.30925},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.30925},
}
RIS
TY  - UNPB
TI  - L-space surgeries on (1,1)-knots in S^1× S^2
AU  - Qingfeng Lyu
AU  - Zipei Nie
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.30925
UR  - https://arxiv.org/abs/2608.30925
AB  - We extend the diagrammatic criterion for (1,1) L-space knots by Greene, Lewallen, and Vafaee to (1,1)-knots in S^1× S^2. We also discuss applications to L-space surgeries on two-bridge links.
ER  -