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A new combinatorial class of 3-manifold triangulations

Feng Luo Stephan Tillmann

Geometric Analysis and Geometric Topology mathscidoc:1912.43818

arXiv preprint arXiv:1312.5087, 2013.12
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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@inproceedings{feng2013a,
  title={A new combinatorial class of 3-manifold triangulations},
  author={Feng Luo, and Stephan Tillmann},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210001323801382},
  booktitle={arXiv preprint arXiv:1312.5087},
  year={2013},
}
Feng Luo, and Stephan Tillmann. A new combinatorial class of 3-manifold triangulations. 2013. In arXiv preprint arXiv:1312.5087. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210001323801382.
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