Z2-Thurston Norm and Complexity of 3-Manifolds

Details Z2-Thurston Norm and Complexity of 3-Manifolds Z2-Thurston Norm and Complexity of 3-Manifolds

2009-06-26

arxiv.org/abs/0906.4864v1

Mathematics

Geometric Topology

19 pages, 4 figures

Scientific paper

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.

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