{"paper":{"title":"Open Gromov-Witten Theory and the Crepant Resolution Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dustin Ross, Renzo Cavalieri","submitted_at":"2011-02-03T16:01:58Z","abstract_excerpt":"We compute open GW invariants for $\\mathcal{K}_{\\mathbb{P}^1}\\oplus\\mathcal{O}_{\\mathbb{P}^1}$, open orbifold GW invariants for $[\\C^3/\\Z_2]$, formulate an open crepant resolution conjecture and verify it for this pair. We show that open invariants can be glued together to deduce the Bryan-Graber closed crepant resolution conjecture for the orbifold $[\\mathcal{O}_{\\mathbb{P}^1}(-1)\\oplus\\mathcal{O}_{\\mathbb{P}^1}(-1)/\\Z_2]$ and its crepant resolution $\\mathcal{K}_{\\mathbb{P}^1\\times\\mathbb{P}^1}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0717","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"}