English

The sutured Thurston norm

Geometric Topology 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0606534,
  title  = {The sutured Thurston norm},
  author = {John Cantwell and Lawrence Conlon},
  journal= {arXiv preprint arXiv:math/0606534},
  year   = {2007}
}

Comments

25 pages