{"paper":{"title":"Degree of the generalized Pl\\\"ucker embedding of a Quot scheme and Quantum cohomology","license":"","headline":"","cross_cats":["hep-th","math.AG"],"primary_cat":"alg-geom","authors_text":"J. Rosenthal, M.S.Ravi, X.wang","submitted_at":"1994-02-15T21:59:42Z","abstract_excerpt":"We compute the degree of the generalized Pl\\\"ucker embedding $\\kappa$ of a Quot scheme $X$ over $\\PP^1$. The space $X$ can also be considered as a compactification of the space of algebraic maps of a fixed degree from $\\PP^1$ to the Grassmanian $\\rm{Grass}(m,n)$. Then the degree of the embedded variety $\\kappa (X)$ can be interpreted as an intersection product of pullbacks of cohomology classes from $\\rm{Grass}(m,n)$ through the map $\\psi$ that evaluates a map from $\\PP^1$ at a point $x\\in \\PP^1$. We show that our formula for the degree verifies the formula for these intersection products pred"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9402011","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"}