Generalizations of Agol's inequality and nonexistence of tight laminations

Abstract

We give a general lower bound for the normal Gromov norm of genuine laminations in terms of the topology of the complementary regions. In the special case of 3-manifolds, this yields a generalization of Agol's inequality from incompressible surfaces to tight laminations. In particular, the inequality excludes the existence of tight laminations with nonempty guts on 3-manifolds of small simplicial volume.

69 pages

References in corpus (3)

• Laminations and groups of homeomorphisms of the circle
• Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds
• Foliated norms on fundamental group and homology

Cited by in corpus (1)

• Homological and Bloch invariants for Q-rank one spaces and flag structures