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A new combinatorial class of 3-manifold triangulations

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.

preprint2015arXivOpen access
Feng LuoStephan Tillmann
math.GT
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Open access2 authors1 topic
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Feng LuoStephan Tillmann

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