Seminar

Zoom Link

We showed with Fenley in https://arxiv.org/abs/2510.15176 (and with some additional work in progress j.w. Barthelme and Mann) that a pair of transverse foliations by Gromov hyperbolic leaves in a closed 3-manifold either intersects as a blow up of an Anosov flow, or it contains a (generalized) Reeb surface. I will present this result and show how the proof splits in two parts depending on how leaves intersect in the universal cover. I will explain some examples and the proof of one of the parts, showing that whenever a pair of leaves intersect in more than one connected component, then the intersection foliation must contain a Reeb annulus (and note that we do not know if this situation is actually possible in atoroidal manifolds). Sergio will explain the other case.