Generalizations of Agol's inequality and nonexistence of tight laminations

Thilo Kuessner

doi:10.2140/pjm.2011.251.109

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Generalizations of Agol's inequality and nonexistence of tight laminations

Thilo Kuessner

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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.

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Thilo Kuessner. 2005-06-26. Generalizations of Agol's inequality and nonexistence of tight laminations. https://doi.org/10.2140/pjm.2011.251.109

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