Gromov-Witten/pairs correspondence for the quintic 3-fold

摘要: We use the Gromov-Witten/Pairs descendent correspondence for toric 3-folds and degeneration arguments to establish GW/P several compact Calabi-Yau (including all CY complete intersections in products of projective spaces). A crucial aspect proof is study descendents relative geometries. Projective bundles over surfaces a section play special role. The provides structure result Gromov-Witten invariants fixed curve class. After change variables, series rational function variable −q = eiu invariant under q ↔ q−1.