Zhongtao Wu

activity

20042026

most citedFour-ball genus bounds and a refinement of the Ozsvath-Szabo tau-invariant

37 citations · 106 across the 21 of their papers we have counts for

collaborators

22 papers

math.GT2026

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

Junghwan Park, Zhongtao Wu, Jingling Yang

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

math.GT2023

Rational genus and Heegaard Floer homology

Zhongtao Wu, Jingling Yang

Turaev defined a function on the first homology of a rational homology 3-sphere $Y$ as the minimal rational Seifert genus of all knots in this homology class. Ni and the first auth…

math.CO2023

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…

math.GT2021

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.GT2020

Alexander polynomial and spanning trees

Yuanyuan Bao, Zhongtao Wu

Inspired by the combinatorial constructions in earlier work of the authors that generalized the classical Alexander polynomial to a large class of spatial graphs with a balanced we…