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Journal Article

A new combinatorial class of 3-manifold triangulations

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Tillmann,  Stephan
Max Planck Institute for Mathematics, Max Planck Society;

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https://dx.doi.org/10.4310/AJM.2017.v21.n3.a7
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Citation

Luo, F., & Tillmann, S. (2017). A new combinatorial class of 3-manifold triangulations. Asian Journal of Mathematics, 21(3), 543-570. doi:10.4310/AJM.2017.v21.n3.a7.


Cite as: https://hdl.handle.net/21.11116/0000-000C-C2A3-0
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.