Combinatorial negative curvature and triangulations of three-manifolds
Group Theory
2015-06-11 v2
Abstract
We introduce and study local combinatorial conditions on a simplicial complex, implying Gromov hyperbolicity of its universal cover. We apply the theory to Thurston's problem on 5/6*-triangulations of 3-manifolds, providing a new proof and generalizing the original result. We indicate further applications.
Keywords
Cite
@article{arxiv.1312.5361,
title = {Combinatorial negative curvature and triangulations of three-manifolds},
author = {Damian Osajda},
journal= {arXiv preprint arXiv:1312.5361},
year = {2015}
}
Comments
9 pages, 4 figures, title slightly changed, minor modifications