{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DRULZ4PIZEB5JGIL5IVWCMIHAP","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":"d83bae66a972bbe07193071c87391c6c3eae61d57ef550149a66e6dc36c5cea3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-08-07T13:18:26Z","title_canon_sha256":"321baf5e9fbcb74b0b68c790bca1fce1e95d63d8658593223ac2c060c55be896"},"schema_version":"1.0","source":{"id":"1408.1581","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1581","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1581v2","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1581","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"DRULZ4PIZEB5","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DRULZ4PIZEB5JGIL","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DRULZ4PI","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:308521613382f096f5ec552658a4e4d10c456aa0c366ae0d6ea0ce7b9f1c9adc","target":"graph","created_at":"2026-05-18T01:35:52Z","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":"We show that the $\\mathbb{Z}/2$-equivariant Morava K-theories with reality (as defined by Hu) are self-dual with respect to equivariant Anderson duality. In particular, there is a universal coefficients exact sequence in Morava K-theory with reality. As a particular example, we recover the self-duality of the spectrum $KO$. The study of $\\mathbb{Z}/2$-equivariant Anderson duality made in this paper gives a nice interpretation of some symmetries of $RO(\\mathbb{Z}/2)$-graded (i.e. bigraded) equivariant cohomology groups in terms of Mackey functor duality.","authors_text":"Nicolas Ricka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-08-07T13:18:26Z","title":"Equivariant Anderson duality and Mackey functor duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1581","kind":"arxiv","version":2},"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:c57347f6a695573f1d368b73e367fb6ca3d8bbd8ce565b735568c0197269b53c","target":"record","created_at":"2026-05-18T01:35:52Z","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":"d83bae66a972bbe07193071c87391c6c3eae61d57ef550149a66e6dc36c5cea3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-08-07T13:18:26Z","title_canon_sha256":"321baf5e9fbcb74b0b68c790bca1fce1e95d63d8658593223ac2c060c55be896"},"schema_version":"1.0","source":{"id":"1408.1581","kind":"arxiv","version":2}},"canonical_sha256":"1c68bcf1e8c903d4990bea2b61310703e69ce51c50caf76ac44dc2d507248204","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c68bcf1e8c903d4990bea2b61310703e69ce51c50caf76ac44dc2d507248204","first_computed_at":"2026-05-18T01:35:52.009616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:52.009616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e7pgDtUPDLyXkl2E+2PAuK2/AB2LmpDMVFSXfaN5fYyUAQPZZsgyUj9N4y1NLMXbMd//9waXZvEd0nNAuKZ/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:52.010473Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1581","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c57347f6a695573f1d368b73e367fb6ca3d8bbd8ce565b735568c0197269b53c","sha256:308521613382f096f5ec552658a4e4d10c456aa0c366ae0d6ea0ce7b9f1c9adc"],"state_sha256":"cf90a2f19378c6728241c2c865cc278c3d7504bd611f8ab348518f2e36ab5605"}