From the 1 of 4 linked papers with an AI index.
4 papers
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
The paper introduces a probabilistic counting model for links and Dehn surgeries in the 3‑sphere and shows that, under this model, a randomly chosen link and the 3‑manifold obtaine…
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)…