{"paper":{"title":"McMullen polynomials and Lipschitz flows for free-by-cyclic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GR"],"primary_cat":"math.GT","authors_text":"Christopher J. Leininger, Ilya Kapovich, Spencer Dowdall","submitted_at":"2013-10-28T16:26:07Z","abstract_excerpt":"Consider a group G and an epimorphism u_0:G\\to\\Z inducing a splitting of G as a semidirect product ker(u_0)\\rtimes_\\varphi\\Z with ker(u_0) a finitely generated free group and \\varphi\\in Out(ker(u_0)) representable by an expanding irreducible train track map. Building on our earlier work [Dynamics on free-by-cyclic groups, arXiv:1301.7739], in which we we realized G as \\pi_1(X) for an Eilenberg-Maclane 2-complex X equipped with a semiflow \\psi, and inspired by McMullen's Teichm\\\"uller polynomial for fibered hyperbolic 3-manifolds, we construct a polynomial invariant \\m for (X,\\psi) and investig"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7481","kind":"arxiv","version":6},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}