Author:
Avramidi Grigori,Okun Boris,Schreve Kevin
Abstract
AbstractWe introduce a hyperbolic reflection group trick which builds closed aspherical manifolds out of compact ones and preserves hyperbolicity, residual finiteness, and—for almost all primes p—$\mathbb{F} _{p}$-homology growth above the middle dimension. We use this trick, embedding theory and manifold topology to construct Gromov hyperbolic 7-manifolds that do not virtually fiber over a circle out of graph products of large finite groups.
Funder
Max Planck Institute for Mathematics
Publisher
Springer Science and Business Media LLC
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