Z2-Thurston Norm and Complexity of 3-Manifolds
Geometric Topology
2009-06-29 v1
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.
Keywords
Cite
@article{arxiv.0906.4864,
title = {Z2-Thurston Norm and Complexity of 3-Manifolds},
author = {William Jaco and J. Hyam Rubinstein and Stephan Tillmann},
journal= {arXiv preprint arXiv:0906.4864},
year = {2009}
}
Comments
19 pages, 4 figures