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Homology growth of polynomially growing mapping tori

  • Naomi Andrew

    University of Oxford, Oxford, UK

  • Yassine Guerch

    University of Caen Normandy, Caen, France

  • Sam Hughes

    Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, Germany

  • Monika Kudlinska

    Emmanuel College, Cambridge, UK
Homology growth of polynomially growing mapping tori cover

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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.

Cite this article

Naomi Andrew, Yassine Guerch, Sam Hughes, Monika Kudlinska, Homology growth of polynomially growing mapping tori. Groups Geom. Dyn. (2025), published online first

DOI 10.4171/GGD/877