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Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds by Gray, James; Haupt, Alexander S.; Lukas, Andre is a scholarly article available to read on EtoBox.

What is Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds about?

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. We also study the fibration structure of these manifolds and find that 99.95 percent can be described as elliptic fibrations. In total, we find 50,114,908 elliptic fibrations, demonstrating the multitude of ways in which many manifolds are fibered. A sub-class of 26,088,498 fibrations satisfy necessary conditions for admitting sections. The complete data set can be downloaded at http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/Cicy4folds/index.html .

Author

Gray, James; Haupt, Alexander S.; Lukas, Andre

Published

2014

Language

EN