3 papers
math.GT2026
Positive braid closures and taut foliations
Zipei Nie
We study taut foliations on the complements of non-split positive braid closures in . If is such a link with components and at least one component is not…
math.GT2023
Chainmail links and non-left-orderability
Zipei Nie
We prove that the alternating surgeries on flat fully augmented chainmail links yield total L-spaces. We also study the non-left-orderability of surgeries on the connected sum with…
math.GT2023
Automated reasoning for proving non-orderability of groups
Alexei Lisitsa, Zipei Nie, Alexei Vernitski
We demonstrate how a generic automated theorem prover can be applied to establish the non-orderability of groups. Our approach incorporates various tools such as positive cones, to…