{"paper":{"title":"Witten's conjecture and recursions for $\\kappa$ classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Renzo Cavalieri, Vance Blankers","submitted_at":"2018-10-26T17:48:02Z","abstract_excerpt":"We construct a countable number of differential operators $\\hat{L}_n$ that annihilate a generating function for intersection numbers of $\\kappa$ classes on $\\Moduli_g$ (the $\\kappa$-potential). This produces recursions among intersection numbers of $\\kappa$ classes which determine all such numbers from a single initial condition. The starting point of the work is a combinatorial formula relating intersecion numbers of $\\psi$ and $\\kappa$ classes. Such a formula produces an exponential differential operator acting on the Gromov-Witten potential to produce the $\\kappa$-potential; after restricti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11443","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"}