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arXiv · 2305.10410

Homology growth of polynomially growing mapping tori

Naomi Andrew·Yassine Guerch·Sam Hughes·Monika Kudlinska
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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.

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Naomi Andrew, Yassine Guerch, Sam Hughes, Monika Kudlinska. 2023-05-17. Homology growth of polynomially growing mapping tori. https://doi.org/10.4171/ggd%2F877

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