Journal article

ℤ2-Thurston norm and complexity of 3-manifolds

W Jaco, JH Rubinstein, S Tillmann

Mathematische Annalen | Published : 2013

Abstract

A new lower bound on the complexity of a 3-manifold is given using the ℤ2-Thurston norm. This bound is shown to be sharp, and the minimal triangulations realising it are characterised using normal surfaces consisting entirely of quadrilateral discs. © 2012 Springer-Verlag.

University of Melbourne Researchers

Grants

Awarded by National Science Foundation


Funding Acknowledgements

W. Jaco is partially supported by NSF Grant DMS-0505609 and the Grayce B. Kerr Foundation. J. Hyam Rubinstein and S. Tillmann are partially supported under the Australian Research Council's Discovery funding scheme (project number DP0664276).