5 papers
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…
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.…