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

arXiv1405.2073MaRDI QIDQ6251382

Author name not available (Why is that?)

Publication date: 8 May 2014

Abstract: 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 .

Has companion code repository: https://github.com/thesfinox/ml-cicy-4folds

This page was built for publication: Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6251382)