Zhongtao Wu

activity

20242026

collaborators

3 papers

math.GT2026

Local Knots, $I^½^{+}$ -Sharp Knots, and Rational Slice Genus

Junghwan Park, Zhongtao Wu, Jingling Yang

Hom and Wu introduced the knot concordance invariant $I^½^{+}$ for knots in $S^{3}$ and proved that it gives a lower bound for the slice genus. Wu and Yang extended $I^½^{+}$ to knot…

math.GT2025

Nonexistence and existence of fillable contact structures on 3-manifolds

Fan Ding, Youlin Li, Zhongtao Wu

In the first part of this paper, we construct infinitely many hyperbolic closed 3-manifolds which admit no symplectic fillable contact structure. All these 3-manifolds are obtained…

math.CO2024

Infinite product of power series

Kui-Yo Chen, Zhong-Tang Wu

We give an exact coefficients formula of any infinite product of power series with constant term equal to $1$ , by using structures from partitions of integers and permutation group…

Local Knots, I^½+-Sharp Knots, and Rational Slice Genus

Nonexistence and existence of fillable contact structures on 3-manifolds

Infinite product of power series

Local Knots, $I^½^{+}$ -Sharp Knots, and Rational Slice Genus