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We show that the correspondence between Higgs bundles and representations of the fundamental group for a compact Kaehler manifold does not extend to compact Gauduchon manifolds. This is done by applying the above result to G/\\Gamma, where $\\Gamma$ is a discrete torsionfree cocompact subgroup of a complex semisimple group $G$."},"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":"1011.3353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-15T12:11:20Z","cross_cats_sorted":[],"title_canon_sha256":"3b0d4ef1ae7622888f95a8404b5cbb00e7c84a6a045b2709cfb788d5673c6e8b","abstract_canon_sha256":"06ac799eb784ac843642cedcc22235d9512491cc5f3d37f46153f069ceb28941"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:56.081013Z","signature_b64":"3jep2gIT6FZZvkR53s5nmFKtHmwOv0cjMONBZXZrXgbN9YmXZdSzH8D41xR6jzBN2WEbmoxGLdBVz8zPmhDODQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4db5e02b7558eedbd63d0524d0df00a33ffea5a766c4aa6aafd938413f96391","last_reissued_at":"2026-05-18T04:35:56.080557Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:56.080557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable Higgs bundles on compact Gauduchon manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Indranil Biswas","submitted_at":"2010-11-15T12:11:20Z","abstract_excerpt":"Let $M$ be a compact complex manifold equipped with a Gauduchon metric. 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