Work

Homology growth of polynomially growing mapping tori

Year: 2025

Type: article

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.

Source: Groups Geometry and Dynamics

DOI: 10.4171/ggd/877

Authors: Naomi Andrew, Yassine Guerch, Sam Hughes, Monika Kudlinska

Institutions: University of Oxford, Université de Caen Normandie, University of Bonn

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: European Commission, Engineering and Physical Sciences Research Council

Award: Free-by-cyclic groups