Ranks of mapping tori via the curve complex

Ian Biringer (1) , Juan Souto (2)

1 BC - Boston College
2 IRMAR - Institut de Recherche Mathématique de Rennes

We show that if the monodromy of a 3-manifold M that fibers over the circle has large translation distance in the curve complex, then the rank of the fundamental group of M is 2g+1, where g is the genus of the fiber.

Domaines: Topologie géométrique [math.GT]

Ian Biringer, Juan Souto. Ranks of mapping tori via the curve complex. Journal für die reine und angewandte Mathematik, 2019, 748 (748), pp.153-172. ⟨10.1515/crelle-2016-0031⟩. ⟨hal-01116183⟩