The sutured Thurston norm

Details The sutured Thurston norm The sutured Thurston norm

2006-06-21

arxiv.org/abs/math/0606534v1

Mathematics

Geometric Topology

25 pages

Scientific paper

For sutured 3-manifolds M, there is a sutured Thurston norm due to Scharlemann. We show how depth one foliations of M and corresponding fibrations and the usual Thurston norm on the double of M are useful tools for computing this norm. In many examples, the faces of the unit ball of the sutured norm are related to cones of depth one foliations of M but examples indicate this is not a general relationship.

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