25 citations · 116 across the 24 of their papers we have counts for
27 papers
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…
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…
Order-detection of slopes on the boundaries of knot manifolds
Steven Boyer, Adam Clay
Motivated by the L-space conjecture, we investigate various notions of order-detection of slopes on knot manifolds. These notions are designed to characterise when rational homolog…
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-…
Dehn fillings of knot manifolds containing essential twice-punctured tori
Steven Boyer, Cameron McA. Gordon, Xingru Zhang
We show that if a hyperbolic knot manifold contains an essential twice-punctured torus with boundary slope and admits a filling with slope producing a Seifert fibre…
On definite strongly quasipositive links and L-space branched covers
Michel Boileau, Steven Boyer, Cameron McA. Gordon
We investigate the problem of characterising the family of strongly quasipositive links which have definite symmetrised Seifert forms and apply our results to the problem of determ…