{"paper":{"title":"Yang-Mills-Higgs connections on Calabi-Yau manifolds, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Alessio Lo Giudice, Beatriz Gra\\~na Otero, Indranil Biswas, Ugo Bruzzo","submitted_at":"2016-06-30T05:47:41Z","abstract_excerpt":"In this paper we study Higgs and co-Higgs $G$-bundles on compact K\\\"ahler manifolds $X$. Our main results are: (1) If $X$ is Calabi-Yau, and $(E,\\,\\theta)$ is a semistable Higgs or co-Higgs $G$-bundle on $X$, then the principal $G$-bundle $E$ is semistable. In particular, there is a deformation retract of ${\\mathcal M}_H(G)$ onto $\\mathcal M(G)$, where $\\mathcal M(G)$ is the moduli space of semistable principal $G$-bundles with vanishing rational Chern classes on $X$, and analogously, ${\\mathcal M}_H(G)$ is the moduli space of semistable principal Higgs $G$-bundles with vanishing rational Cher"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09353","kind":"arxiv","version":3},"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"}