Yi Ni

activity

20042026

most citedKnot Floer homology detects fibred knots

204 citations · 657 across the 55 of their papers we have counts for

collaborators

57 papers

math.GT2026

On the fiberedness of surgery 3-manifolds

Yi Ni, Zhongzi Wang

Let $M$ be a closed orientable 3-manifold and $k$ be a knot in $M$ . Then the Dehn surgery of $M$ along $k$ with slope $α$ is not surface fibered for all but a sparse set of slopes.

math.GT2025

Generation of sutured manifolds

Yi Ni

Given a compact, oriented, connected surface $F$ , we show that the set of connected sutured manifolds $(M, γ)$ with $R_{\pm} (γ) ≅ F$ is generated by the product sutured manifold…

math.GT2022

Floer homology and right-veering monodromy

John A. Baldwin, Yi Ni, Steven Sivek

We prove that the knot Floer complex of a fibered knot detects whether the monodromy of its fibration is right-veering. In particular, this leads to a purely knot Floer-theoretic c…

math.GT2022★ 1 cited

Null-homotopic knots have Property R

Yi Ni

We prove that if $K$ is a nontrivial null-homotopic knot in a closed oriented $3$ --manfiold $Y$ such that $Y - K$ does not have an $S^{1} \times S^{2}$ summand, then the zero surgery on $…

math.GT2022

Knot Floer homology and fixed points

Yi Ni

If $K$ is a fibered knot in a closed, oriented $3$ --manifold $Y$ with fiber $F$ , and $H F K (Y, K, [F], g (F) - 1; Z /2 Z)$ has rank $r$ , then the monodromy of $K$ i…

math.GT2021

A note on knot Floer homology and fixed points of monodromy

Yi Ni

Using an argument of Baldwin--Hu--Sivek, we prove that if $K$ is a hyperbolic fibered knot with fiber $F$ in a closed, oriented $3$ --manifold $Y$ , and $\widehat{HFK}(Y,K,[F], g(F)-…