{"paper":{"title":"Hikita surjectivity for $\\mathcal N /// T$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Linus Setiabrata","submitted_at":"2024-10-21T17:19:59Z","abstract_excerpt":"The Hamiltonian reduction $\\mathcal N///T$ of the nilpotent cone in $\\mathfrak{sl}_n$ by the torus of diagonal matrices is a Nakajima quiver variety which admits a symplectic resolution $\\widetilde{\\mathcal N///T}$, and the corresponding BFN Coulomb branch is the affine closure $\\overline{T^*(G/U)}$ of the cotangent bundle of the base affine space. We construct a surjective map $\\mathbb C\\left[\\overline{T^*(G/U)}^{T\\times B/U}\\right] \\twoheadrightarrow H^*\\left(\\widetilde{\\mathcal N /// T}\\right)$ of graded algebras, which the Hikita conjecture predicts to be an isomorphism. Our map is inherit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.16217","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.16217/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}