Showing math.GTShow all
3 papers · 1 filter
math.GT2026
A combinatorial approach to obstructing left-orderability of Dehn fillings
Adam Clay, Junyu Lu, Tjay Staruch
We introduce the conjugate-slope property of knots, a variant of Nie's Property (D), which can be used to study non-left-orderability of fundamental groups arising from Dehn fillin…
math.GT2025
Order-detection and non-left-orderable surgeries on links
Adam Clay, Junyu Lu
Beginning with a -manifold having a single torus boundary component, there are several computational techniques in the literature that use a presentation of the fundamental…
math.GT2024
Order-detection, representation-detection, and applications to cable knots
Adam Clay, Junyu Lu
Given a -manifold with multiple incompressible torus boundary components, we develop a general definition of order-detection of tuples of slopes on the boundary components o…