Z2-Thurston Norm and Complexity of 3-Manifolds, II

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Date
2017-12-20MFO Scientific Program
Research in Pairs 2017Series
Oberwolfach Preprints;2017,36Author
Jaco, William
Rubinstein, J. Hyam
Spreer, Jonathan
Tillmann, Stephan
Metadata
Show full item recordOWP-2017-36
Abstract
In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed 3-manifold, as well as a characterisation of manifolds realising our complexity bounds. As an application, we obtain the first infinite families of minimal triangulations of Seifert fibred spaces modelled on Thurston's geometry $\widetilde{\text{SL}_2(\mathbb{R})}.$