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They are moduli spaces of perverse coherent sheaves on the blow-up.\n  In this paper we study how Donaldson-type invariants (integrals of cohomology classes given by universal sheaves) change from $\\bM^m(c)$ to $\\bM^{m+1}(c)$, and then from $M(c)$ to $\\bM(c)$.\n  As an application we prove that Nekrasov-type partition fu"},"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":"0911.1773","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-11-09T21:13:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"815d0d7d09f11274214d5fb5a5aacecfc81258020dcc34ee32f4110ca7bec629","abstract_canon_sha256":"68c15c5246d96d221ac20a0695e3b0c116ba7717ed1e283da6de1921e4016c93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:30.367462Z","signature_b64":"Zo9lTil4u5IXp3V65KaeLBC7uyXAt+bMW+pUuEJ0+DcmieotzDCqf1TmT7YaS1snXLXeq07t6YHO8VwZLcU9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f735693efad2e3ea88ea613106f79401293f0e71f1c0a05489b02758f5d99a9c","last_reissued_at":"2026-05-18T02:29:30.367024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:30.367024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perverse coherent sheaves on blow-up. 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