McMullen polynomials and Lipschitz flows for free-by-cyclic groups

DOI10.4171/JEMS/739zbMath1433.20012arXiv1310.7481OpenAlexW2963297777MaRDI QIDQ1676085

Spencer Dowdall, Christopher J. Leininger, Ilya Kapovich

Publication date: 3 November 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7481

zbMATH Keywords

free-by-cyclic groupsstretch factorstrain track mapsBNS-invariant

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Low-dimensional dynamical systems (37E99) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items

A Survey of the Thurston Norm ⋮ Dynamics on free-by-cyclic groups ⋮ Two-generator one-relator groups and marked polytopes ⋮ Orientable maps and polynomial invariants of free-by-cyclic groups ⋮ On the Bieri-Neumann-Strebel-Renz invariants of the weak commutativity construction \(\mathfrak{X}(G)\) ⋮ Homological eigenvalues of lifts of pseudo-Anosov mapping classes to finite covers ⋮ Unbounded asymmetry of stretch factors. ⋮ Detecting Fully Irreducible Automorphisms: A Polynomial Time Algorithm ⋮ Entropy and the clique polynomial ⋮ Irreducibility of a free group endomorphism is a mapping torus invariant ⋮ An algorithm to compute the Teichmüller polynomial from matrices ⋮ The Bieri-Neumann-Strebel invariants via Newton polytopes ⋮ The visual boundary of hyperbolic free-by-cyclic groups ⋮ Handlebody bundles and polytopes

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