activity
20182023
most citedL-spaces, left-orderability and two-bridge knots

3 citations · 4 across the 8 of their papers we have counts for

collaborators

8 papers

math.GT2023

Rigidity of braid group actions on and of low-genus mapping class group actions on

Idrissa Ba, Adam Clay, Tyrone Ghaswala

Every nontrivial action of the braid group on by orientation-preserving homeomorphisms yields, up to conjugation by a homeomorphism of , a representa…

math.GT2023

Knot groups, quandle extensions and orderability

Idrissa Ba, Mohamed Elhamdadi

This paper gives a new way of characterizing L-space -manifolds by using orderability of quandles. Hence, this answers a question of Adam Clay et al. [Question 1.1 of Canad. Mat…

math.GT2022

Circular orderability and quandles

Idrissa Ba, Mohamed Elhamdadi

In this paper, we introduce the notion of circular orderability for quandles. We show that the set all right (respectively left) circular orderings of a quandle is a compact topolo…

math.GR2022

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…

math.GT2021

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 $…

math.GR2020★ 1 cited

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…