{"paper":{"title":"Picard group and fundamental group of the moduli of Higgs bundles on curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arjun Paul, Sujoy Chakraborty","submitted_at":"2018-08-01T12:55:48Z","abstract_excerpt":"Let $X$ be an irreducible smooth projective curve of genus $g \\geq 2$ over $\\mathbb{C}$. Let $G$ be a connected reductive affine algebraic group over $\\mathbb{C}$. Let $\\mathrm{M}_{G, {\\rm Higgs}}^{\\delta}$ be the moduli space of semistable principal $G$--Higgs bundles on $X$ of topological type $\\delta \\in \\pi_1(G)$. In this article, we compute the fundamental group and Picard group of $\\mathrm{M}_{G, {\\rm Higgs}}^{\\delta}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00304","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}