Qingfeng Lyu

activity

20242026

collaborators

4 papers

math.GT2026

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…

math.GT2025

(1,1) non-L-space knots are persistently foliar

Qingfeng Lyu

We prove that (1,1) non-L-space knots in $S^{3}$ and lens spaces are persistently foliar. This verifies the L-space knot conjecture of Delman-Roberts for (1,1) knots, thus providing…

math.GT2025

Torus decomposition and foliation detected slopes

Qingfeng Lyu

Let $M_{1}$ and $M_{2}$ be knot manifolds and $M = M_{1} \cup_{f} M_{2}$ be the closed 3-manifold obtained by gluing up $M_{1}$ and $M_{2}$ via $f : \partial M_{1} ≅ \partial M_{2}$ . We…

math.GT2024

The knot meridians of (1,1)-knot complements are CTF-detected

Qingfeng Lyu

For any non-simple (1,1)-knot in $S^{3}$ or a lens space, we construct a co-oriented taut foliation in its complement that intersects the boundary torus transversely in a suspension…

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

(1,1) non-L-space knots are persistently foliar

Torus decomposition and foliation detected slopes

The knot meridians of (1,1)-knot complements are CTF-detected

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