On dual unit balls of Thurston norms

Abdoul Karim Sane (1, 2)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
2 IF - Institut Fourier

Thurston norms are invariants of 3-manifolds defined on their second homology and understanding the shape of their dual unit balls is a widely open problem. In this article, we provide a large family of polytopes in R^2g that appear like dual unit balls of Thurston norms, generalizing Thurston's construction for polygons in R^2.

Mots clés: Intersection norm; Thurston norm; Incompressible surface; Reebless Foliation

Domaines: Topologie géométrique [math.GT]

Abdoul Karim Sane. On dual unit balls of Thurston norms. Canadian Mathematical Bulletin, 2021, ⟨10.4153/S0008439521000552⟩. ⟨hal-02537133v3⟩