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The coherent-constructible correspondence $\\kappa$ of \\cite{FLTZ} equates $\\Perf_T(X_\\Sigma)$ with a subcategory $Sh_{cc}(M_\\bR;\\LS)$ of constructible sheaves on a vector space $M_\\bR.$ The microlocalization equivalence $\\mu$ of \\cite{NZ,N} relates these sheaves to a subcategory $Fuk(T^*M_\\bR;\\LS)$ of the Fukaya category of the cotangent $T^*M_\\bR$. When $X_\\Si$ is nonsingular, taking the derived category yields an equivariant version of homological mirror symmetry, $DCoh_T(X_\\Si)\\cong DFuk(T^*M_\\bR;\\LS)$, which is an equivalence of triangulated tens"},"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":"0811.1228","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-11-09T22:56:57Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"212b1074cc302f769498166cf3ef1b52e385e80000154491343f074f9f25b175","abstract_canon_sha256":"3bd1f8eef9b9492f5f061f01388939aa8b1ad0feeb1f6f23dfb29e042010f98c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:47.643216Z","signature_b64":"kVZpP2JE+d8d9YVtp9l8crn8Z9z6/6DgF7VHbnVqsA/OCzHic5VJgiX8OuxQJ+C2j2qdxLM6HcuDYpw/x31kAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b164a2941cda054c21fc94340556cce0b0710531443e79dc486c6a89a67b5dc9","last_reissued_at":"2026-05-18T02:54:47.642782Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:47.642782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"T-Duality and Homological Mirror Symmetry of Toric Varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Bohan Fang, Chiu-Chu Melissa Liu, David Treumann, Eric Zaslow","submitted_at":"2008-11-09T22:56:57Z","abstract_excerpt":"Let $X_\\Sigma$ be a complete toric variety. 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