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Specifically, let $X$ be a proper toric variety of dimension $n$ and let $M_\\bR = \\mathrm{Lie}(T_\\bR^\\vee)\\cong \\bR^n$ be the Lie algebra of the compact dual (real) torus $T_\\bR^\\vee\\cong U(1)^n$. Then there is a corresponding conical Lagrangian $\\Lambda \\subset T^*M_\\bR$ and an equivalence of triangulated dg categories $\\Perf_T(X) \\con"},"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":"1007.0053","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-07-01T01:11:28Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"955cec8084034eb2cbb1dad262cdc1fbdfe5faec7cfa0e740423c207f1b51f19","abstract_canon_sha256":"d872f928265f2cef4554fa942a9cecf134deadc46a9dfb2e86a1bd8f881fc85b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:34.004049Z","signature_b64":"Wf3EQ52hNtZL1wdW1lRwNYSn4Us8vgHMmDB0+6WW+k+5ov+p+XMeuAvGp3wuisJghz0r46XVomcQ78jJw61jBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2ae4ca1ccf513387b81a287c148b15d3b755038aa63485b65fbdd0df83f13c4","last_reissued_at":"2026-05-18T04:12:34.003349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:34.003349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A categorification of Morelli's theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Bohan Fang, Chiu-Chu Melissa Liu, David Treumann, Eric Zaslow","submitted_at":"2010-07-01T01:11:28Z","abstract_excerpt":"We prove a theorem relating torus-equivariant coherent sheaves on toric varieties to polyhedrally-constructible sheaves on a vector space. 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