{"paper":{"title":"Finite slope cyclic surgeries along toroidal Brunnian links and generalized Properties P and R","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Teruhisa Kadokami","submitted_at":"2015-04-06T17:09:55Z","abstract_excerpt":"Let $M_{\\lambda}$ be the $\\lambda$-component Milnor link. For $\\lambda \\ge 3$, we determine completely when a finite slope surgery along $M_{\\lambda}$ yields a lens space including $S^3$ and $S^1\\times S^2$, where {\\it finite slope surgery} implies that a surgery coefficient of every component is not $\\infty$. For $\\lambda =3$ (i.e.\\ the Borromean rings), there are three infinite sequences of finite slope surgeries yielding lens spaces. For $\\lambda \\ge 4$, any finite slope surgery does not yield a lens space. As a corollary, $M_{\\lambda}$ for $\\lambda \\ge 3$ does not yield both $S^3$ and $S^1"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01321","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"}