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arxiv: 0906.4864 · v1 · submitted 2009-06-26 · 🧮 math.GT

Z2-Thurston Norm and Complexity of 3-Manifolds

classification 🧮 math.GT
keywords boundcomplexitynormz2-thurstoncharacterisedconsistingdiscsentirely
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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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