L-space surgeries on (1,1)-knots in $S^1\times S^2$

Qingfeng Lyu; Zipei Nie

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arXiv · 2608.30925

L-space surgeries on (1,1)-knots in $S^1\times S^2$

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 $S^1\times S^2$. We also discuss applications to L-space surgeries on two-bridge links.

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BibTeX RIS

Qingfeng Lyu, Zipei Nie. 2026-08-31. L-space surgeries on (1,1)-knots in $S^1\times S^2$. https://arxiv.org/abs/2608.30925

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