Orientable maps and polynomial invariants of free-by-cyclic groups

DOI10.1016/j.aim.2023.108872OpenAlexW4319213276MaRDI QIDQ2684527

Spencer Dowdall, Samuel J. Taylor, Radhika Gupta

Publication date: 16 February 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.12134

zbMATH Keywords

Alexander polynomialstretch factorfree-by-cyclic groupMcMullen polynomialorientable laminations

Mathematics Subject Classification ID

Geometric group theory (20F65) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

• Botany of irreducible automorphisms of free groups.
• Intersection theory of manifolds with operators with applications to knot theory
• Dynamics on free-by-cyclic groups
• A geometric invariant of discrete groups
• Train tracks and automorphisms of free groups
• Train-tracks for surface homeomorphisms
• Laminations, trees, and irreducible automorphisms of free groups
• McMullen polynomials and Lipschitz flows for free-by-cyclic groups
• Endomorphisms, train track maps, and fully irreducible monodromies
• Irreducibility of a free group endomorphism is a mapping torus invariant
• Digraphs and cycle polynomials for free-by-cyclic groups
• Mapping tori with first Betti number at least two
• The Burau estimate for the entropy of a braid
• Actions of finitely generated groups on \(\mathbb{R}\)-trees.
• Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations
• Axes in outer space
• The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology1
• Cœur et nombre d'intersection pour les actions de groupes sur les arbres
• The expansion factors of an outer automorphism and its inverse
• On the geometry and dynamics of diffeomorphisms of surfaces
• THE ALEXANDER POLYNOMIAL OF A THREE-DIMENSIONAL MANIFOLD
• IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE
• Irreducible nonsurjective endomorphisms of Fn are hyperbolic
• Entropy and the clique polynomial
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