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We prove a general formula for the homological boundary $\\delta[Z]^{BM}\\in H_{2k-1}^{BM}(\\partial\\hat{\\mathcal M}^{\\mathrm{pst}},\\mathbb{Z})$ of the Borel-Moore fundamental class of $Z$ in the boundary of the blow up moduli space $\\hat {\\mathcal M}^{\\mathrm{pst}}$. The proof is based on the holomorphic model theorem (proved in a previ"},"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":"1501.01651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-07T21:22:10Z","cross_cats_sorted":["math.AG","math.AT","math.CV"],"title_canon_sha256":"42b081b04c6a53fc750b91ebfe9e0bb4b620f466bb68bdc8d9011d134df6e9c9","abstract_canon_sha256":"b590e89ce12b9d3e9fa8e969ccb224d310dd732fe8f1d463bb22a7845ad869bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:46.744378Z","signature_b64":"q8PfHpq50dKSmciL+W8tlsCRWdzaGx1rBOKS5Ay83oGQ503wjgT7i4SraovDwhfVL/EVto05nUtaays2uPwVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9405ab1498389636cfee0d413ad9b15d4b3f42479f13e3d6243b634ce51751a","last_reissued_at":"2026-05-18T02:29:46.743813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:46.743813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic cycles in flip passages and in instanton moduli spaces over non-K\\\"ahlerian surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.CV"],"primary_cat":"math.DG","authors_text":"Andrei Teleman","submitted_at":"2015-01-07T21:22:10Z","abstract_excerpt":"Let $\\mathcal{M}^{\\mathrm{st}}$ ($\\mathcal{M}^{\\mathrm{pst}}$) be a moduli space of stable (polystable) bundles with fixed determinant on a complex surface with $b_1=1$, $p_g=0$, and let $Z\\subset \\mathcal{M}^{\\mathrm{st}}$ be a pure $k$-dimensional analytic set. We prove a general formula for the homological boundary $\\delta[Z]^{BM}\\in H_{2k-1}^{BM}(\\partial\\hat{\\mathcal M}^{\\mathrm{pst}},\\mathbb{Z})$ of the Borel-Moore fundamental class of $Z$ in the boundary of the blow up moduli space $\\hat {\\mathcal M}^{\\mathrm{pst}}$. 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