A new combinatorial class of 3-manifold triangulations [article]

Feng Luo, Stephan Tillmann
2015 arXiv   pre-print
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.
arXiv:1312.5087v2 fatcat:vg36w7plkfg63fgb3ehjc7k4ly