A sufficient condition for a branched surface to fully carry a lamination

Skander Zannad (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We give a sufficient condition for a branched surface in a 3 dimensional manifold to fully carry a lamination, giving a piece of answer to a classical question of D. Gabai.

Mots clés: branched surface; lamination; twisted disk of contact; twisted curve

Domaines: Topologie géométrique [math.GT]

Skander Zannad. A sufficient condition for a branched surface to fully carry a lamination. Algebraic and Geometric Topology, 2007, 7, pp.1599-1632. ⟨hal-00015011v4⟩