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

Qingfeng Lyu, Zipei Nie

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 surgerie…