Realizing compactly generated pseudo-groups of dimension one

Gaël Meigniez (1, 2)

1 LMAM - Laboratoire de Mathématiques et Applications des Mathématiques, EA 3885
2 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

Many compactly generated pseudo-groups of local transformations on 1-manifolds are realizable as the transverse dynamic of a foliation of codimension 1 on a compact manifold of dimension 3 or 4.

Mots clés: realization; compactly generated; holonomy; pseudo-group; foliation; taut; realization.

Domaines: Topologie géométrique [math.GT]

Gaël Meigniez. Realizing compactly generated pseudo-groups of dimension one. 2014. ⟨hal-01058874v1⟩