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We prove that the compact complex Bohr-Sommerfeld Lagrangians of $M_H(r,d)$ are precisely the irreducible components of the nilpotent cone in $M_H(r,d)$. This generalizes to Higgs $G$-bundles and also to the parabolic Higgs bundles."},"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":"1409.6814","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-24T03:59:54Z","cross_cats_sorted":["math-ph","math.MP","math.SG"],"title_canon_sha256":"c83b7d328b4b4df2bf2f45525d48b595c0f26ebae812154c0c25dbdce2d2df64","abstract_canon_sha256":"21d0621756811f3baf97c093a29e463e3828e8e118fcb4d3a4031d3e6bbbd679"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:04.662347Z","signature_b64":"Vsd2rRS0zjVj3pL9d01Y2pnahwhRxYy0QXOHzz4IB7sRDIF9rnnsP9lxa1ZVl0gLB7MvryZ2P5ZyqSGsWokkAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63d6bb358b8d8ad6dda21c7e2cc2dd544c7cff43db5415344b97636596df4793","last_reissued_at":"2026-05-18T02:04:04.661676Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:04.661676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SG"],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Marina Logares, Niels Leth Gammelgaard","submitted_at":"2014-09-24T03:59:54Z","abstract_excerpt":"Let $X$ be a compact connected Riemann surface of genus at least two. 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