Complete Intersection Calabi-Yau Four-Folds

Alexander Haupt, James Gray, Andre Lukas

This website holds the complete list of Calabi-Yau four-folds defined as complete intersections in products of projective spaces, in total 921,497 spaces, together with information on many of their basic topological properties. Any use of the data on this website should be acknowledged by referencing the associated publications given below.

All Complete Intersection Calabi-Yau Four-Folds

The basic classification of complete intersection Calabi-Yau four-folds, together with a computation of Euler numbers has been carried out in arXiv:1303.1832. The corresponding data, which consists of the configuration matrices and the Euler numbers, is contained in the following files:

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

In arXiv:1405.2073, the structure of complete intersection Calabi-Yau four-folds has been analyzed in more detail. In particular, all Hodge numbers, Chern classes and elliptic fibrations have been computed. The corresponding data whose format is explained in arXiv:1405.2073 is contained in the following files:
  • Four-fold list as a compressed plain text file, containing a list in Mathematica format (12.3MB compressed, 342.9MB uncompressed).
  • Elliptic fibrations of four-folds, as a compressed directory containing text files with lists in Mathematica format (128.4MB compressed, 4.93GB uncompressed).