Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds

Understand

We investigate the mathematical properties of the class of Calabi-Yau four-folds recently found in [arXiv:1303.1832].

• This class consists of 921,497 configuration matrices which correspond to manifolds that are described as complete intersections in products of projective spaces.
• For each manifold in the list, we compute the full Hodge diamond as well as additional topological invariants such as Chern classes and intersection numbers.
• Using this data, we conclude that there are at least 36,779 topologically distinct manifolds in our list.