{"paper":{"title":"Holomorphic curves for Legendrian surgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Tobias Ekholm","submitted_at":"2019-06-17T19:19:12Z","abstract_excerpt":"Let $X$ be a Weinstein manifold with ideal contact boundary $Y$. If $\\Lambda\\subset Y$ is a link of Legendrian spheres in $Y$ then by attaching Weinstein handles to $X$ along $\\Lambda$ we get a Weinstein cobordism $X_{\\Lambda}$ with a collection of Lagrangian co-core disks $C$ corresponding to $\\Lambda$. In \\cite{BEE, EL} it was shown that the wrapped Floer cohomology $CW^{\\ast}(C)$ of $C$ in the Weinstein manifold $X'_{\\Lambda}=X\\cup X_{\\Lambda}$is naturally isomorphic to the Legendrian differential graded algebra $CE^{\\ast}(\\Lambda)$ of $\\Lambda$ in $Y$. The argument uses properties of modul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.07228","kind":"arxiv","version":1},"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"}