Qingfeng Lyu

collaborators

3 papers

math.GT2026

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.GT2026

(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 provides positive evidence for the L-space conjecture.

math.GT2025

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…