IUMJ

Title: Combinatorial negative curvature and triangulations of 3-manifolds

Authors: Damian Osajda

Issue: Volume 64 (2015), Issue 3, 943-956

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.