{"paper":{"title":"Ends of the moduli space of Higgs bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.GT"],"primary_cat":"math.DG","authors_text":"Frederik Witt, Hartmut Weiss, Jan Swoboda, Rafe Mazzeo","submitted_at":"2014-05-22T14:15:33Z","abstract_excerpt":"We associate to each stable Higgs pair $(A_0,\\Phi_0)$ on a compact Riemann surface $X$ a singular limiting configuration $(A_\\infty,\\Phi_\\infty)$, assuming that $\\det \\Phi$ has only simple zeroes. We then prove a desingularization theorem by constructing a family of solutions $(A_t,t\\Phi_t)$ to Hitchin's equations which converge to this limiting configuration as $t \\to \\infty$. This provides a new proof, via gluing methods, for elements in the ends of the Higgs bundle moduli space and identifies a dense open subset of the boundary of the compactification of this moduli space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5765","kind":"arxiv","version":2},"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"}