19 citations · 20 across the 10 of their papers we have counts for
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Building Foliations from Heegaard Diagrams
Shangjun Shi, Yanqing Zou
Every closed orientable 3-manifold admits both a Heegaard splitting and a coorientable codimension-one foliation. We address the foliation realization problem: constructing a folia…
Genericity of hyperbolic 3-manifolds via Dehn surgery
Renxing Wan, Yanqing Zou
A significant result by Lickorish and Wallace shows that every closed, orientable 3-manifold can be obtained from a Dehn surgery on one link in 3-sphere. As links and Dehn surgerie…
Nonembeddable contractible open manifolds arising from Whitehead doubling
Shijie Gu, Jian Wang, Yanqing Zou
We study a family of genus-one contractible open manifolds constructed by iterated Whitehead doubling from a nontrivial knot and an even half-twist . For each such pair, we…
Comparing -genera, Bridge-1 genera and Heegaard genera of knots
Ruifeng Qiu, Chao Wang, Yanqing Zou
Let , , , be the -genus, Heegaard genus, bridge-1 genus, tunnel number of a knot in the -sphere , respectively. It is known that $g_H(K)…
Genus three Goeritz groups of connected sums of two lens spaces
Hao Chen, YanQing Zou
We prove that the mapping class groups of the genus 3 Heegaard splittings of the connected sum of two lens spaces are finitely generated, and the corresponding reducing sphere comp…
Finiteness of mapping class groups and Heegaard distance
Yanqing Zou
We prove that the mapping class group of a Heegaard splitting with a distance of at least 3 is finite. However, we have constructed a counterexample with a distance of 2 that dispr…
On tunnel numbers of a cable knot and its companion
Junhua Wang, Yanqing Zou
Let be a nontrivial knot in and its tunnel number. For any -slope in the torus boundary of a closed regular neighborhood of in , denoted…
An upper bound on distance degenerate handle additions
Yanqing Zou
We prove that for any distance at least 3 Heegaard splitting and a boundary component , there is a diameter finite ball in the curve complex so that it contain…
3-manifolding admitting locally large distance 2 Heegaard splittings
Ruifeng Qiu, Yanqing Zou
From the view of Heegaard splitting, it is known that if a closed orientable 3-manifold admits a distance at least three Heegaard splitting, then it is hyperbolic. However, for a c…
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…