{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:COR5HTUEKWOJ7FEGZJMJHVLUJO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f33433d4a2b41c7270d77f3ac143c45bce14a8b7def925f1892ed4955bc6a7ab","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-21T11:37:47Z","title_canon_sha256":"81ac0d675876bcbb9ff91bcdc0d6473a7c18e02dadbbd62c00f1345a603b7397"},"schema_version":"1.0","source":{"id":"1012.4616","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4616","created_at":"2026-05-18T04:32:45Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4616v1","created_at":"2026-05-18T04:32:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4616","created_at":"2026-05-18T04:32:45Z"},{"alias_kind":"pith_short_12","alias_value":"COR5HTUEKWOJ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"COR5HTUEKWOJ7FEG","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"COR5HTUE","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:f86d0ca78ec397a200b35dac96edffddda22e603142376bf530a6a53bc2b62d3","target":"graph","created_at":"2026-05-18T04:32:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we prequantize the moduli space of non-abelian vortices. We explicitly calculate the symplectic form arising from the $L^2$ metric and we construct a prequantum line bundle whose curvature is proportional to this symplectic form. The prequantum line bundle turns out to be Quillen's determinant line bundle with a modified Quillen metric. Next, as in the case of abelian vortices, we construct Quillen line bundles over the moduli space whose curvatures form a family of symplectic forms which are parametrised by $\\Psi_0$, a section of a certain bundle.","authors_text":"Rukmini Dey, Samir K. Paul","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-21T11:37:47Z","title":"Quillen bundle and Geometric Prequantization of Non-Abelian Vortices on a Riemann surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4616","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:77243be3bd8ea777e808b342c18e72bc9ba0ae20906c1914fdaacdf4afb7dfa7","target":"record","created_at":"2026-05-18T04:32:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f33433d4a2b41c7270d77f3ac143c45bce14a8b7def925f1892ed4955bc6a7ab","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-21T11:37:47Z","title_canon_sha256":"81ac0d675876bcbb9ff91bcdc0d6473a7c18e02dadbbd62c00f1345a603b7397"},"schema_version":"1.0","source":{"id":"1012.4616","kind":"arxiv","version":1}},"canonical_sha256":"13a3d3ce84559c9f9486ca5893d5744bb6abeb0ba2ffe44451f785c2dbb6ca0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13a3d3ce84559c9f9486ca5893d5744bb6abeb0ba2ffe44451f785c2dbb6ca0c","first_computed_at":"2026-05-18T04:32:45.250999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:45.250999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pf1ljN23jQ1XLaHv4rvyasTLVqu15KDVtjThIz2x5r8F9iN1EcLXBaEUZMOw3IFbfWb6fhxL4EU6UCOCnTI1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:45.252550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.4616","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77243be3bd8ea777e808b342c18e72bc9ba0ae20906c1914fdaacdf4afb7dfa7","sha256:f86d0ca78ec397a200b35dac96edffddda22e603142376bf530a6a53bc2b62d3"],"state_sha256":"a9f4352e392bf938419a6fc601eb5682269d0d19e698e040f9f929d8cce478da"}