Depth of free-by-cyclic groups

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Spencer Dowdall, Yassine Guerch, Radhika Gupta, Jean Pierre Mutanguha, Caglar Uyanik
DOI: 10.48550/arxiv.2602.10433
Cited by: 0

Abstract

For a free group automorphism, we prove that its poset of attracting lamination orbits is a canonical invariant of the associated mapping torus. That is, if a free-by-cyclic group splits as a mapping torus in two different ways, then the corresponding automorphisms have isomorphic posets of lamination orbits. Further, we show that the lamination depth, the size of the largest chain in this poset, is a commensurability invariant of the free-by-cyclic group.

Fields of Study & Subjects

Geometric and Algebraic Topology Mathematical Dynamics and Fractals Advanced Topology and Set Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 February 2026
Language
EN
Document type
Preprint