The Equivalence Classes of Calabi-Yau Three-Folds from the Kreuzer-Skarke List



This website holds the the equivalence classes of Calabi-Yau three-folds from the favourable, and simply connected, entries of the Kreuzer-Skarke list for h11 < 7, as discussed in 2310.05909. The manifolds are indexed in the JSON files contained in IndicesForPolytopesAndTriangulations.zip, giving a two-entry index indicating the polytope number and triangulation for each Picard number. Using this index structure, the intersection forms, chern classes, and some invariants of each manifold are given, in the JSON files contained in ManifoldData.zip. Finally, the JSON files in EquivalenceData.zip give the relations between these manifolds. The data were generated using CYtools.