Minimal disc diagrams of 5/9-simplicial complexes

2015/09/12 by Lazar, Ioana-Claudia
#05C75 #05C99 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1509.03760

Abstract

We introduce and study a local combinatorial condition, called the 5/9-condition, on a simplicial complex, implying Gromov hyperbolicity of its universal cover. We hereby give an application of another combinatorial condition, called 8-location, introduced by Damian Osajda. Along the way we prove the minimal filling diagram lemma for 5/9-complexes.

Related

• A combinatorial negative curvature condition implying Gromov\n hyperbolicity
• 7-location, weak systolicity and isoperimetry
• Combinatorial negative curvature and triangulations of three-manifolds
• Universal simplicial complexes inspired by toric topology
• Minimal Cohen-Macaulay Simplicial Complexes