%0 Journal Article
%T Rational manifold models for duality groups
%A Grigori Avramidi
%J Mathematics
%D 2015
%I arXiv
%X We show that a finite type duality group of dimension $d>2$ is the fundamental group of a $(d+3)$-manifold with rationally acyclic universal cover. We use this to find closed manifolds with rationally acyclic universal cover and some nonvanishing $L^2$-Betti numbers outside the middle dimension, which contradicts a rational analogue of a conjecture of Singer.
%U http://arxiv.org/abs/1506.06293v3