21 citations · 82 across the 22 of their papers we have counts for
10 papers · 1 filter
Cofinal elements and fractional Dehn twist coefficients
Adam Clay, Tyrone Ghaswala
We show that for a surface with positive genus and one boundary component, the mapping class of a Dehn twist along a curve parallel to the boundary is cofinal in every left ord…
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…
Circular orderability of 3-manifold groups
Idrissa Ba, Adam Clay
This paper initiates the study of circular orderability of -manifold groups, motivated by the L-space conjecture. We show that a compact, connected, -irreducible $…
Ordered groups and topology
Adam Clay, Dale Rolfsen
This is a draft of a book submitted for publication by the AMS. Its theme is the remarkable interplay, accelerating in the last few decades, between topology and the theory of orde…
Slope detection, foliations in graph manifolds, and L-spaces
Steven Boyer, Adam Clay
A graph manifold rational homology -sphere with a left-orderable fundamental group admits a co-oriented taut foliation, though it is unknown whether it admits a smooth co-or…
Foliations, orders, representations, L-spaces and graph manifolds
Steven Boyer, Adam Clay
We show that the properties of admitting a co-oriented taut foliation and having a left-orderable fundamental group are equivalent for rational homology -sphere graph manifolds…