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Does the complex space structure on ${\\mathcal{M}}_a^{\\mathrm{ASD}}(E)^*$ induced by the Kobayashi-Hitchin correspondence extend to a complex space structure on the Donaldson-Uhlenbeck compactification $\\overline{\\mathcal{M}}_a^\\mathrm{ASD}(E)$? Our results answer this question in detail for the moduli spaces of $\\mathrm{SU}(2)$"},"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":"1701.03339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-01-12T13:46:21Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"49dc4cd1083c9f9d86b4e52d8a39ada6c5aad8afc3fc3328d5b47d4790a6694c","abstract_canon_sha256":"38f1978692b76fbaa27aa8f6528de54b3b28660c941b4e55ccaa29e548c52112"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:57.914804Z","signature_b64":"Q+wybSXU5s3kScamTxvATYtvuWWEFJcjvHsnxwvmji6JOt90pJHApYeFOFqvc9moJyaSMj4vYrh4Tz3Ejb25CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f9fc0f747c1ad4eaabad41f5c55f0924e4afa73dfff3ebbb5be2b254b028142","last_reissued_at":"2026-05-18T00:52:57.914356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:57.914356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Donaldson-Uhlenbeck compactification of instanton moduli spaces on class VII surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"Andrei Teleman, Matei Toma, Nicholas Buchdahl","submitted_at":"2017-01-12T13:46:21Z","abstract_excerpt":"We study the following question: Let $(X,g)$ be a compact Gauduchon surface, $(E,h)$ be a differentiable rank $r$ vector bundle on $X$, ${\\mathcal{D}}$ be a fixed holomorphic structure on $D:=\\det(E)$ and $a$ be the Chern connection of the pair $(\\mathcal{D},\\det(h))$. Does the complex space structure on ${\\mathcal{M}}_a^{\\mathrm{ASD}}(E)^*$ induced by the Kobayashi-Hitchin correspondence extend to a complex space structure on the Donaldson-Uhlenbeck compactification $\\overline{\\mathcal{M}}_a^\\mathrm{ASD}(E)$? 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