{"paper":{"title":"Quasi right-veering braids and non-loose links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Keiko Kawamuro, Tetsuya Ito","submitted_at":"2016-01-26T16:26:54Z","abstract_excerpt":"We introduce a notion of \"quasi-right-veering\" for closed braids, which plays an analogous role to \"right-veering\" for open books. We show that a transverse link $K$ in a contact 3-manifold $(M,\\xi)$ is non-loose if and only if every braid representative of $K$ with respect to every open book decomposition that supports $(M,\\xi)$ is quasi-right-veering. We also show that several definitions of \"right-veering\" closed braids are equivalent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07084","kind":"arxiv","version":4},"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"}