{"paper":{"title":"Full Lutz twist along the binding of an open book","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Burak Ozbagci, Mehmetcik Pamuk","submitted_at":"2009-05-07T10:25:00Z","abstract_excerpt":"Let $T$ denote a binding component of an open book $(\\Sigma, \\phi)$ compatible with a closed contact 3-manifold $(M, \\xi)$. We describe an explicit open book $(\\Sigma', \\phi')$ compatible with $(M, \\zeta)$, where $\\zeta$ is the contact structure obtained from $\\xi$ by performing a full Lutz twist along $T$. Here, $(\\Sigma', \\phi')$ is obtained from $(\\Sigma, \\phi)$ by a \\emph{local} modification near the binding."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.0986","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"}