A new combinatorial class of 3-manifold triangulations

Feng Luo; Stephan Tillmann

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arXiv · 1312.5087

A new combinatorial class of 3-manifold triangulations

Feng Luo·Stephan Tillmann

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Abstract

We define a new combinatorial class of triangulations of closed 3-manifolds, satisfying a weak version of 0-efficiency combined with a weak version of minimality, and study them using twisted squares. As an application, we obtain strong restrictions on the topology of a 3-manifold from the existence of non-smooth maxima of the volume function on the space of circle-valued angle structures.

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Feng Luo, Stephan Tillmann. 2013-12-18. A new combinatorial class of 3-manifold triangulations. https://arxiv.org/abs/1312.5087

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