Rigidity of braid group actions on $\mathbb{R}$ and of low-genus mapping class group actions on $S^1$

Autor: Ba, Idrissa, Clay, Adam, Ghaswala, Tyrone

Every nontrivial action of the braid group $B_n$ on $\mathbb{R}$ by orientation-preserving homeomorphisms yields, up to conjugation by a homeomorphism of $\mathbb{R}$, a representation $\rho : B_n \rightarrow \mathrm{H\widetilde{ome}o}_+(S^1)$ and th

Externí odkaz: http://arxiv.org/abs/2312.10727

Circular orderability and quandles

Autor: Ba, Idrissa, Elhamdadi, Mohamed

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 topological space. We also show that the space of right (respectively left)

Externí odkaz: http://arxiv.org/abs/2204.09458

Potential population-level effects of HIV self-test distribution among key populations in Côte d'Ivoire, Mali, and Senegal: a mathematical modelling analysis

Autor: Amani, Elvis Georges, Badiane, Kéba, Bayac, Céline, Bekelynck, Anne, Boily, Marie-Claude, Boye, Sokhna, Breton, Guillaume, d'Elbée, Marc, Desclaux, Alice, Desgrées du Loû, Annabel, Diop, Papa Moussa, Ehui, Eboi, Medley, Graham, Jean, Kévin, Keita, Abdelaye, Kouassi, Arsène Kra, Ky-Zerbo, Odette, Larmarange, Joseph, Maheu-Giroux, Mathieu, Moh, Raoul, Mosso, Rosine, Ndour, Cheikh Tidiane, Paltiel, David, Pourette, Dolorès, Rouveau, Nicolas, Silhol, Romain, Simo Fotso, Arlette, Terris-Prestholt, Fern, Traoré, Métogara Mohamed, Doumenc-Aïdara, Clémence, Geoffroy, Olivier, Kabemba, Odé Kanku, Vautier, Anthony, Abokon, Armand, Anoma, Camille, Diokouri, Annie, Kouamé, Blaise, Kouakou, Venance, Koffi, Odette, Kpolo, Alain, Tety, Josiane, Traore, Yacouba, Bagendabanga, Jules, Berthé, Djelika, Diakité, Daouda, Diakité, Mahamadou, Diallo, Youssouf, Daouda, Minta, Hessou, Septime, Kanambaye, Saidou, Kanouté, Abdul Karim, Dembélé Keita, Bintou, Koné, Dramane, Koné, Mariam, Maiga, Almoustapha, Saran Keita, Aminata, Sidibé, Fadiala, Tall, Madani, Yattassaye Camara, Adam, Sanogo, Abdoulaye, Bâ, Idrissa, Diallo, Papa Amadou Niang, Fall, Fatou, NGom Guèye, NDèye Fatou, Ndiaye, Sidy Mokhtar, Niang, Alassane Moussa, Samba, Oumar, Thiam, Safiatou, Turpin, Nguissali M.E., Bouaré, Seydou, Camara, Cheick Sidi, Kouadio, Brou Alexis, Sarrassat, Sophie, Sow, Souleyman, Eponon Ehua, Agnes, Kouvahe, Amélé, Montaufray, Marie-Anne, Ndeye, Pauline Dama, Soni, Nirali, N'Guessan, Kouassi Noel, Sidibé, Younoussa, Gueye, Papa Alioune, Mukandavire, Christinah, Vickerman, Peter

Publikováno v: In The Lancet HIV August 2024 11(8):e531-e541

The space of circular orderings and semiconjugacy

Autor: Clay, Adam, Ba, Idrissa

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 known---it is what is known as a Tararin group. By defining semiconjugac

Externí odkaz: http://arxiv.org/abs/2010.13176

L-spaces, left-orderability and two-bridge knots

Autor: Ba, Idrissa

We show that the 3-fold cyclic branched cover of any genus 2 two-bridge knot $K_{[-2q,2s,-2t,2l]}$ is an L-space and its fundamental group is not left-orderable. Therefore the family of 3-fold cyclic branched cover of any genus 2 two-bridge knot $K_{

Externí odkaz: http://arxiv.org/abs/1801.02692