19 citations · 23 across the 5 of their papers we have counts for
7 papers
A Counterexample to Three Conjectures of Luo
Qilong Guo
We give a single counterexample to Conjectures 1--3 as stated in Luo's paper: a minimal two-tetrahedron triangulation of the lens space L(3,1) with a null-homotopic loop edge. The…
Lens Space Surgeries and the Bleiler-Litherland Conjecture
Qilong Guo
We prove the Bleiler-Litherland conjecture: every lens space obtained by a nontrivial Dehn surgery on a hyperbolic knot in has order at least 18. The key ingredient is a spec…
Cofinal towers with vanishing homology torsion
Qilong Guo
Problem 3.6 in the problem list of Baykur, Kirby and Ruberman asks whether every cofinal tower \[ M_0\longleftarrow M_1\longleftarrow M_2\longleftarrow\cdots \] of fi…
Unbounded Gaps Between Ordinary and Equivariant Dehn Surgery Numbers
Qilong Guo, Chunxing Yan
For a closed oriented -manifold and an orientation-preserving involution , let $\DS(Y)$ denote the minimum number of components in an integral surgery description of ,…
Width of the Whitehead double of a nontrivial knot
Zhenkun Li, Qilong Guo
In this paper, we prove that , where is the width of a knot and is the Whitehead double of a nontrivial knot .
Width of a satellite knot and its companion
Zhenkun Li, Qilong Guo
In the paper we prove the conjecture by Alexander Zupan that where w denote the width and and are satellite knot and its companion with winding num…
The Heegaard distances cover all non-negative integers
Ruifeng Qiu, Yanqing Zou, Qilong Guo
In this paper, we prove that (1) For any integers and , there is a closed 3-manifold which admits a distance Heegaard splitting of genus exce…