Homology growth of polynomially growing mapping tori
Group Theory
2025-12-09 v2 Geometric Topology
Abstract
We prove that residually finite mapping tori of polynomially growing automorphisms of hyperbolic groups, groups hyperbolic relative to finitely many virtually polycyclic groups, right-angled Artin groups (when the automorphism is untwisted), and right-angled Coxeter groups have the cheap rebuilding property of Abert, Bergeron, Fraczyk, and Gaboriau. In particular, their torsion homology growth vanishes for every Farber sequence in every degree.
Keywords
Cite
@article{arxiv.2305.10410,
title = {Homology growth of polynomially growing mapping tori},
author = {Naomi Andrew and Yassine Guerch and Sam Hughes and Monika Kudlinska},
journal= {arXiv preprint arXiv:2305.10410},
year = {2025}
}
Comments
v2. 15 pages, version to appear in Groups, Geometry, and Dynamics