Document Type
Article
Publication Date
4-1-2024
Abstract
We 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—-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.
Publication Source (Journal or Book title)
Geometric and Functional Analysis
First Page
303
Last Page
376
Recommended Citation
Avramidi, G., Okun, B., & Schreve, K. (2024). Homology Growth, Hyperbolization, and Fibering. Geometric and Functional Analysis, 34 (2), 303-376. https://doi.org/10.1007/s00039-024-00667-w