A new combinatorial class of 3-manifold triangulations
Geometric Topology
2015-12-23 v2
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.
Keywords
Cite
@article{arxiv.1312.5087,
title = {A new combinatorial class of 3-manifold triangulations},
author = {Feng Luo and Stephan Tillmann},
journal= {arXiv preprint arXiv:1312.5087},
year = {2015}
}
Comments
28 pages, 23 figures; colour printing recommended; to appear in AJM