%0 Journal Article %T The sutured Thurston norm %A John Cantwell %A Lawrence Conlon %J Mathematics %D 2006 %I arXiv %X 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. %U http://arxiv.org/abs/math/0606534v1