{"paper":{"title":"From $S^1$-fixed points to $\\mathcal{W}$-algebra representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Andrew Neitzke, Laura Fredrickson","submitted_at":"2017-09-18T20:03:14Z","abstract_excerpt":"We study a set $\\mathcal{M}_{K,N}$ parameterizing filtered $SL(K)$-Higgs bundles over $\\mathbb{CP}^1$ with an irregular singularity at $z = \\infty$, such that the eigenvalues of the Higgs field grow like $\\lvert \\lambda \\rvert \\sim \\lvert z ^{N/K} \\mathrm{d} z \\rvert$, where $K$ and $N$ are coprime. $\\mathcal{M}_{K,N}$ carries a $\\mathbb{C}^\\times$-action analogous to the famous $\\mathbb{C}^\\times$-action introduced by Hitchin on the moduli spaces of Higgs bundles over compact curves. The construction of this $\\mathbb{C}^\\times$-action on $\\mathcal{M}_{K,N}$ involves the rotation automorphism "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06142","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"}