{"paper":{"title":"A wrapped Fukaya category of knot complement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Seonhwa Kim, Yong-Geun Oh, Youngjin Bae","submitted_at":"2019-01-08T10:36:20Z","abstract_excerpt":"This is the first of a series of two articles where we construct a version of wrapped Fukaya category $\\mathcal W\\mathcal F(M\\setminus K;H_{g_0})$ of the cotangent bundle $T^*(M \\setminus K)$ of the knot complement $M \\setminus K$ of a compact 3-manifold $M$, and do some calculation for the case of hyperbolic knots $K \\subset M$. For the construction, we use the wrapping induced by the kinetic energy Hamiltonian $H_{g_0}$ associated to the cylindrical adjustment $g_0$ on $M \\setminus K$ of a smooth metric $g$ defined on $M$. We then consider the torus $T = \\partial N(K)$ as an object in this c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02239","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"}