activity
20132026
most citedLeft-orderability and cyclic branched coverings

20 citations · 33 across the 10 of their papers we have counts for

collaborators

11 papers

math.GT2026

Toroidal 3-manifolds have circularly orderable fundamental groups

Steven Boyer, Cameron McA. Gordon, Ying Hu

In this article we prove that toroidal 3-manifolds have circularly-orderable fundamental groups by showing that they admit finite cyclic covers with left-orderable fundamental grou…

math.GT2025

On 3-manifolds admitting co-orientable taut foliations, but none with vanishing Euler class

Steven Boyer, Cameron McA. Gordon, Ying Hu +1

In this article, we construct infinitely many (small Seifert fibred, hyperbolic and toroidal) rational homology -spheres that admit co-orientable taut foliations, but none with…

math.GT2025

Slope detection, taut foliations, and the relative L-space conjecture

Steven Boyer, Cameron McA. Gordon, Ying Hu

The -space conjecture asserts the equivalence, for prime -manifolds, of three properties: not being an -space (), having a left-orderable fundamental group (), an…

math.GT2024

Cyclic branched covers of Seifert links and properties related to the link conjecture

Steven Boyer, Cameron McA. Gordon, Ying Hu

In this article we show that all cyclic branched covers of a Seifert link have left-orderable fundamental groups, and therefore admit co-oriented taut foliations and are not -sp…

math.GT2023

JSJ decompositions of knot exteriors, Dehn surgery and the -space conjecture

Steven Boyer, Cameron McA. Gordon, Ying Hu

In this article, we apply slope detection techniques to study properties of toroidal -manifolds obtained by performing Dehn surgeries on satellite knots in the context of the $L…

math.GT2023

Recalibrating -order trees and $\mbox{Homeo}_+(S^1)$-representations of link groups

Steven Boyer, Cameron McA. Gordon, Ying Hu

In this paper we study the left-orderability of -manifold groups using an enhancement, called recalibration, of Calegari and Dunfield's "flipping" construction, used for modifyi…

math.GT2021

Slope detection and toroidal 3-manifolds

Steven Boyer, Cameron McA Gordon, Ying Hu

The -space conjecture asserts the equivalence, for prime 3-manifolds, of three properties: not being an -space, having a left-orderable fundamental group, and admitting a co-…

math.GT2021★ 8 cited

Khovanov homology and the cinquefoil

John A. Baldwin, Ying Hu, Steven Sivek

We prove that Khovanov homology with coefficients in detects the torus knot. Our proof makes use of a wide range of deep tools in Floer homology, K…

math.GT2019★ 4 cited

Euler class of taut foliations and Dehn filling

Ying Hu

In this article, we study the Euler class of taut foliations on the Dehn fillings of a -homology solid torus. We give a necessary and sufficient condition for the Euler…

math.GT2017★ 1 cited

Taut foliations in branched cyclic covers and left-orderable groups

Steven Boyer, Ying Hu

We study the left-orderability of the fundamental groups of cyclic branched covers of links which admit co-oriented taut foliations. In particular we do this for cyclic branched co…

math.GT2013★ 20 cited

Left-orderability and cyclic branched coverings

Ying Hu

We provide an alternative proof of a sufficient condition for the fundamental group of the cyclic branched cover of along a prime knot to be left-orderable, whic…