2 citations · 2 across the 6 of their papers we have counts for
8 papers
Rigidity on horocycles and hypercycles
Cheikh Lo, Abdoul Karim Sane
We show that a bijection of the hyperbolic plane that sends horocycles to horocycles (respectively hypercycles to hypercycles) is an isometr…
Connected components of the topological surgery graph of a unicellular collection
Nick Salter, Abdoul Karim Sane
A unicellular collection on a surface is a collection of curves whose complement is a single disk. There is a natural surgery operation on unicellular collections, endowing the set…
Triangles, Fractales and Spaghetti
ElHadji Abdou Aziz Diop, Masseye Gaye, Abdoul Karim Sane
There is well-known problem of geometric probability which can be quote as the Broken Spaghetti Problem. It addresses the following question: A stick of spaghetti breaks into three…
Combinatorial -systoles on a punctured torus and a pair of pants
ElHadji Abdou Aziz Diop, Masseye Gaye, Abdoul Karim Sane
In this paper, denotes a surface homeomorphic to a punctured torus or a pair of pants. Our interest is the study of \emph{\textbf{combinatorial -systoles}} that is closed cu…
Unicellular maps and filtrations of the mapping class group
Abdoul Karim Sane
This article first answers to questions about connectedness of a new family of graphs on unicellular maps. Answering these questions goes through a description of the mapping class…
On dual unit balls of Thurston norms
Abdoul Karim Sane
Thurston norms are invariants of 3-manifolds defined on their second homology vector spaces, and understanding the shape of their dual unit ball is a (widely) open problem. W. Thur…
Curves on surfaces and surgeries
Abdoul Karim Sane, Abdoul Sane
We study collections of curves in generic position on a closed surface whose complement consists of one disk only, up to orientation-preserving homeomorphism of the surface. We def…
Intersection Norms and One-faced Collection of Curves
Abdoul Karim Sane
Intersection norms are integer norms on the first homology group of a surface. In this article, we prove that there are some polytopes which are not dual unit balls of such norms.…