Curves on surfaces and surgeries

Abdoul Karim Sane (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

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 define a surgery operation on the set of such collections and prove that any two of them can be connected by a sequence of such surgeries.

Mots clés: One-faced collection; Surgery

Domaines: Topologie géométrique [math.GT]; Combinatoire [math.CO]

Abdoul Karim Sane. Curves on surfaces and surgeries. 2019. ⟨hal-02018250v1⟩