21 citations · 82 across the 22 of their papers we have counts for
29 papers
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…
The number of locally invariant orderings of a group
Idrissa Ba, Adam Clay, Ian Thompson
We show that if a nontrivial group admits a locally invariant ordering, then it admits uncountably many locally invariant orderings. For the case of a left-orderable group, we prov…
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 $…
The space of circular orderings and semiconjugacy
Adam Clay, Idrissa Ba
Work of Linnell shows that the space of left-orderings of a group is either finite or uncountable, and in the case that the space is finite, the isomorphism type of the group is kn…
Graph manifolds that admit arbitrarily many Anosov flows
Adam Clay, Tali Pinsky
For each natural number n, we construct an example of a graph manifold supporting at least n different Anosov flows that are not orbit equivalent. Our construction is reminiscent o…