Zhiyun Cheng

collaborators

3 papers

math.GT2025

Fundamental generalized Legendrian rack and classical invariants

Zhiyun Cheng, Zhiyi He

In this paper, we prove that if two Legendrian knots have isomorphic fundamental GL-racks, then either they have the same Thurston-Bennequin number and the same rotation number, or…

math.CO2025

All Ramsey critical graphs for a large tree versus $t K_{m}$

Zhiyu Cheng, Zhidan Luo, Pingge Chen

Let $H, H_{1}$ and $H_{2}$ be graphs, and let $H \to (H_{1}, H_{2})$ denote that any red-blue coloring of $E (H)$ yields a red copy of $H_{1}$ or a blue copy of $H_{2}$ . The…

math.GT2024

Constructing topological biquandles via skew braces

Zhiyun Cheng

In this short note, we construct some nontrivial examples of topological biquandle. The key ingredient of the construction is the notion of skew brace.

Fundamental generalized Legendrian rack and classical invariants

All Ramsey critical graphs for a large tree versus tKm​

Constructing topological biquandles via skew braces

All Ramsey critical graphs for a large tree versus $t K_{m}$