{"paper":{"title":"Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Eiko Kin, Mitsuhiko Takasawa","submitted_at":"2010-03-02T10:23:29Z","abstract_excerpt":"Let $\\delta_g$ be the minimal dilatation for pseudo-Anosovs on a closed surface $\\Sigma_g$ of genus $g$ and let $\\delta_g^+$ be the minimal dilatation for pseudo-Anosovs on $\\Sigma_g$ with orientable invariant foliations. This paper concerns the pseudo-Anosovs which occur as the monodromies on closed fibers for Dehn fillings of $N(r)$ for each $r \\in \\{-3/2, -1/2, 2\\}$ of the magic manifold $N$. The manifold $N(-3/2)$ is homeomorphic to the Whitehead sister link exterior.\n  We consider the set $\\Lambda_g(r)$ (resp. $\\Lambda_g^+(r)$) which consists of the dilatations of all monodromies (resp. m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0545","kind":"arxiv","version":2},"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"}