Expansion of building-like complexes

Abstract

Following Gromov, the coboundary expansion of building-like complexes is studied. In particular, it is shown that for any n \geq 1 , there exists a constant \epsilon (n) > 0 such that for any 0 \leq k < n the k -th coboundary expansion constant of any n -dimensional spherical building is at least \epsilon (n) .

Locations

• arXiv (Cornell University) - View - PDF
• Groups Geometry and Dynamics - View