Xingru Zhang

activity

20002026

most citedPositive knots and knots with braid index three have property_p

6 citations · 17 across the 9 of their papers we have counts for

collaborators

9 papers

math.GT2026

The AJ conjecture and connected sums of torus knots

Xingru Zhang

The set of isotopy classes of nontrivial torus knots $T (p, q)$ in $S^{3}$ is in bijection with the set of coprime integer pairs $(p, q)$ satisfying $∣ p ∣ > q \geq 2$ . We verify the AJ conj…

math.GT2021★ 1 cited

Characterizing slopes for torus knots, II

Yi Ni, Xingru Zhang

A slope $\frac{p}{q}$ is called a characterizing slope for a given knot $K_{0} \subset S^{3}$ if whenever the $\frac{p}{q}$ --surgery on a knot $K \subset S^{3}$ is homeomorphic to the $\frac{p}{q}$ …

math.GT2019

Remarks on SU(2)-simple knots and SU(2)-cyclic 3-manifolds

Xingru Zhang

We give some remarks on two closely related issues as stated in the title. In particular we show that a Montesinos knot is SU(2)-simple if and only if it is a 2-bridge knot, extend…

math.GT2018★ 3 cited

A note on orderability and Dehn filling

Christopher Herald, Xingru Zhang

We improve upon a recent result of Culler and Dunfield on orderability of certain Dehn fillings by removing a difficult condition they required.

math.GT2009★ 4 cited

Quasi-Fuchsian Surfaces In Hyperbolic Link Complements

Joseph D. Masters, Xingru Zhang

We show that every hyperbolic link complement contains closed quasi-Fuchsian surfaces. As a consequence, we obtain the result that on a hyperbolic link complement, if we remove fro…

math.GT2006

Heegaard splittings and virtually Haken Dehn filling II

Joseph D. Masters, William Menasco, Xingru Zhang

We use Heegaard splittings to give a criterion for a tunnel number one knot manifold to be non-fibered and to have large cyclic covers. We also show that such a knot manifold (sati…