S. Boyer

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math.GT2026

Slope detection and toroidal 3-manifolds

Steven Boyer, Cameron McA Gordon, Ying Hu

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

math.GT2024

Recalibrating $R$ -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 $3$ -manifold groups using an enhancement, called recalibration, of Calegari and Dunfield's "flipping" construction, used for modifyi…

math.GT2024

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

Steven Boyer, Cameron McA. Gordon, Ying Hu

In this article, we apply slope detection techniques to study properties of toroidal $3$ -manifolds obtained by performing Dehn surgeries on satellite knots in the context of the $L…

Slope detection and toroidal 3-manifolds

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

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

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

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