Z2-Thurston Norm and Complexity of 3-Manifolds

2009/06/26 by Jaco, William, Rubinstein, J. Hyam, Tillmann, Stephan
#57M25 #57N10 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.0906.4864

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.

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