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Let L_a be convex line bundles over B, A_a smooth divisors of B arising as the zero loci of generic sections of L_a, and \\a:B\\to E a particular fixed-point section of E. Further assume the \\{A_a\\} to be mutually disjoint.\n  We compute genus-0 Gromov--Witten invariants of the blowup of E along \\a(\\coprod_a A_a) in terms of genus-0 Gromov--Witten invariants of B and of \\{A_a\\}, the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1510.01301","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-05T19:46:16Z","cross_cats_sorted":[],"title_canon_sha256":"75fc136927b2d4aecb1f4b4bf952fc1b4813925697b0182e53016ffc9464cda4","abstract_canon_sha256":"aa819cc3e2dfd77d95a8948b6e5fa5ea8f2799f6538e688c8bfcc75d52470292"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:04.303494Z","signature_b64":"mcc6IY6E0lFvE1doH/wxRM9AsxS7xlQ8T/2UerhAUkGq5AodVlSdHmmc4WD1J7eJzg8y7RJpCg14/1mkNaECBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e38ab9bce69afb8c57e11bc0a75f179f7f695eeb68322b2c15fc0831905f690","last_reissued_at":"2026-05-18T01:31:04.302899Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:04.302899Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Mirror Theorem for T-Equivariant Blowups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jeff Brown","submitted_at":"2015-10-05T19:46:16Z","abstract_excerpt":"Let E be a toric fibration arising from symplectic reduction of a direct sum of line bundles over (almost-) K\\\"ahler base B. Then each torus-fixed point of the toric manifold fiber defines a section of the fibration. Let L_a be convex line bundles over B, A_a smooth divisors of B arising as the zero loci of generic sections of L_a, and \\a:B\\to E a particular fixed-point section of E. Further assume the \\{A_a\\} to be mutually disjoint.\n  We compute genus-0 Gromov--Witten invariants of the blowup of E along \\a(\\coprod_a A_a) in terms of genus-0 Gromov--Witten invariants of B and of \\{A_a\\}, the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.01301","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1510.01301","created_at":"2026-05-18T01:31:04.302974+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.01301v1","created_at":"2026-05-18T01:31:04.302974+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.01301","created_at":"2026-05-18T01:31:04.302974+00:00"},{"alias_kind":"pith_short_12","alias_value":"DY4KXG6ONGX3","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DY4KXG6ONGX3RRL6","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DY4KXG6O","created_at":"2026-05-18T12:29:17.054201+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DY4KXG6ONGX3RRL6CG6AU5PRPH","json":"https://pith.science/pith/DY4KXG6ONGX3RRL6CG6AU5PRPH.json","graph_json":"https://pith.science/api/pith-number/DY4KXG6ONGX3RRL6CG6AU5PRPH/graph.json","events_json":"https://pith.science/api/pith-number/DY4KXG6ONGX3RRL6CG6AU5PRPH/events.json","paper":"https://pith.science/paper/DY4KXG6O"},"agent_actions":{"view_html":"https://pith.science/pith/DY4KXG6ONGX3RRL6CG6AU5PRPH","download_json":"https://pith.science/pith/DY4KXG6ONGX3RRL6CG6AU5PRPH.json","view_paper":"https://pith.science/paper/DY4KXG6O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.01301&json=true","fetch_graph":"https://pith.science/api/pith-number/DY4KXG6ONGX3RRL6CG6AU5PRPH/graph.json","fetch_events":"https://pith.science/api/pith-number/DY4KXG6ONGX3RRL6CG6AU5PRPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DY4KXG6ONGX3RRL6CG6AU5PRPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DY4KXG6ONGX3RRL6CG6AU5PRPH/action/storage_attestation","attest_author":"https://pith.science/pith/DY4KXG6ONGX3RRL6CG6AU5PRPH/action/author_attestation","sign_citation":"https://pith.science/pith/DY4KXG6ONGX3RRL6CG6AU5PRPH/action/citation_signature","submit_replication":"https://pith.science/pith/DY4KXG6ONGX3RRL6CG6AU5PRPH/action/replication_record"}},"created_at":"2026-05-18T01:31:04.302974+00:00","updated_at":"2026-05-18T01:31:04.302974+00:00"}