{"paper":{"title":"Classification of Nahm pole solutions of the Kapustin-Witten equations on $S^1\\times \\Sigma\\times \\mathbb{R}^+$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Rafe Mazzeo, Siqi He","submitted_at":"2019-01-02T06:04:01Z","abstract_excerpt":"In this note, we classify all solutions to the $\\mathrm{SU(n)}$ Kapustin-Witten equations on $S^1\\times\\Sigma \\times \\mathbb{R}^+$, where $\\Sigma$ is a compact Riemann surface, with Nahm pole singularity at $S^1\\times\\Sigma \\times \\{0\\}$. We provide a similar classification of solutions with generalized Nahm pole singularities along a simple divisor (a \"knot\") in $S^1\\times\\Sigma \\times \\{0\\}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00274","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"}