Homology Growth, Hyperbolization, and Fibering.

Autor: Avramidi, Grigori, Okun, Boris, Schreve, Kevin
Předmět:
Zdroj: Geometric & Functional Analysis; Apr2024, Vol. 34 Issue 2, p303-376, 74p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index