6 papers
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…
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-…
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…
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…
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…
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…