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Triangulated 3-Manifolds: Combinatorics and Volume Optimisation

Feng Luo Stephan Tillmann

Geometric Analysis and Geometric Topology mathscidoc:1912.43825

arXiv preprint arXiv:1312.5087, 2013.12
We define a new combinatorial class of triangulations of closed 3manifolds, and study them using twisted squares. As an application, we obtain strong restrictions on the topology of a 3manifold from the existence of non-smooth maxima of the volume function on the space of circle-valued angle structures.
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@inproceedings{feng2013triangulated,
  title={Triangulated 3-Manifolds: Combinatorics and Volume Optimisation},
  author={Feng Luo, and Stephan Tillmann},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210025223572389},
  booktitle={arXiv preprint arXiv:1312.5087},
  year={2013},
}
Feng Luo, and Stephan Tillmann. Triangulated 3-Manifolds: Combinatorics and Volume Optimisation. 2013. In arXiv preprint arXiv:1312.5087. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210025223572389.
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