{"paper":{"title":"Stabilizations via Lefschetz Fibrations and Exact Open Books","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"M. Firat Arikan, Selman Akbulut","submitted_at":"2011-12-02T17:43:25Z","abstract_excerpt":"We show that if a contact open book $(\\Sigma,h)$ on a $(2n+1)$-manifold $M$ ($n\\geq1$) is induced by a Lefschetz fibration $\\pi:W \\to D^2$, then there is a one-to-one correspondence between positive stabilizations of $(\\Sigma,h)$ and \\emph{positive stabilizations} of $\\pi$. More precisely, any positive stabilization of $(\\Sigma,h)$ is induced by the corresponding positive stabilization of $\\pi$, and conversely any positive stabilization of $\\pi$ induces the corresponding positive stabilization of $(\\Sigma,h)$. We define \\emph{exact open books} as boundary open books of compatible exact Lefsche"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0519","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"}