CAT(0) spaces with polynomial divergence of geodesics.

Authors: Natasa Macura
Subjects: Group Theory
link: http://arxiv.org/abs/1101.3355
Abstract

We construct a family of finite 2-complexes whose universal covers are CAT(0)
and have polynomial divergence of desired degree. This answers a question of
Gersten, namely whether such CAT(0) complexes exist.