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In particular, the general fiber of the connected component $\\Higgs_0$ of the Hitchin system for $G$ is an abelian variety which is dual to the corresponding fiber of the connected component of the Hitchin system for $\\lan{G}$. The non-neutral connected components $\\Higgs_{\\alpha}$ form torsors over $\\Higgs_0$. We show that their duals are gerbes over $\\Higgs_0$ which are induced by the gerbe of $G$-Higgs bundles $\\gHiggs$. More generally, we estab"},"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":"math/0604617","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2006-04-28T05:00:40Z","cross_cats_sorted":["hep-th","math.RT"],"title_canon_sha256":"3691650c89b10018b79af7b3c5fecccaaa3b5e4f75b8a3479e18d6148f15b714","abstract_canon_sha256":"7790dbd157bb0fa5a1146ea5363d8c0cdf16b99aac3e455e60e28bbc21593991"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:47.780381Z","signature_b64":"9xdu+r02LKEvdB7FQC25fhaij8GgmFXwFK+wcC36R3Rr0pOA1sAVU8aZ78xaOhE5frsx6GCKCEsnThT2Vr2xAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89168fd0c85511393ea36f57dbd92f95d065ef82d46f1dd27e1eff3bc972255c","last_reissued_at":"2026-05-18T04:05:47.779886Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:47.779886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Langlands duality for Hitchin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.RT"],"primary_cat":"math.AG","authors_text":"Ron Donagi, Tony Pantev","submitted_at":"2006-04-28T05:00:40Z","abstract_excerpt":"We show that the Hitchin integrable system for a simple complex Lie group $G$ is dual to the Hitchin system for the Langlands dual group $\\lan{G}$. In particular, the general fiber of the connected component $\\Higgs_0$ of the Hitchin system for $G$ is an abelian variety which is dual to the corresponding fiber of the connected component of the Hitchin system for $\\lan{G}$. The non-neutral connected components $\\Higgs_{\\alpha}$ form torsors over $\\Higgs_0$. We show that their duals are gerbes over $\\Higgs_0$ which are induced by the gerbe of $G$-Higgs bundles $\\gHiggs$. 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