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In the first case, this follows from a theorem of Maulik-Nekrasov-Okounkov-Pandharipande. In the second case, this follows from a conjecture of the authors and a (more general $K$-theoretic) conjecture of Nekrasov.\n  In this paper, we consider formal analogues of these invariants in any dimension $d \\not \\equiv 2 \\ \\mathrm{mod"},"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":"1805.04746","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-05-12T16:13:18Z","cross_cats_sorted":["hep-th","math.CO"],"title_canon_sha256":"3a961dd92c61564ed4423ab3b94a7d54e70ec9670bb7164063167f1598b2a920","abstract_canon_sha256":"cf881b9a48b625e5700657fcc95b6f534529178c75710ac9445a41f5cc61a587"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:59.396175Z","signature_b64":"maK4hhDp2QQO5axYO+Yiz8qJgDMhz563B2arxbj21YN1SY+QAihWDW3+Je7a0XGLazg5rp6rcO9D88K9sr4MBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42e25c893677becc6fabbf1d082f9e0a8c789efd46330651ecf35f51662c9bee","last_reissued_at":"2026-05-17T23:57:59.395697Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:59.395697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Counting zero-dimensional subschemes in higher dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.CO"],"primary_cat":"math.AG","authors_text":"Martijn Kool, Yalong Cao","submitted_at":"2018-05-12T16:13:18Z","abstract_excerpt":"Consider zero-dimensional Donaldson-Thomas invariants of a toric threefold or toric Calabi-Yau fourfold. 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