Intersection Norms and One-faced Collection of Curves

Abdoul Karim Sane (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

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. By the way, we investigate the set of collections of curves on Σ2 whose complement is a disk.

Domaines: Topologie géométrique [math.GT]

Abdoul Karim Sane. Intersection Norms and One-faced Collection of Curves. 2018. ⟨hal-01853719v3⟩