Generalizations of Agol's inequality and nonexistence of tight laminations

Details Generalizations of Agol's inequality and nonexistence of tight laminations Generalizations of Agol's inequality and nonexistence of tight laminations

2005-06-26

arxiv.org/abs/math/0506528v4

PJM 251-1 (2011), 109--172

Mathematics

Geometric Topology

69 pages

Scientific paper

10.2140/pjm.2011.251.109

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.

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