Topological invariants and fibration structure of complete intersection Calabi-Yau four-folds

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dc.identifier.uri http://dx.doi.org/10.15488/941
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/965
dc.contributor.author Gray, James
dc.contributor.author Haupt, Alexander S.
dc.contributor.author Lukas, Andre
dc.date.accessioned 2016-12-22T07:22:09Z
dc.date.available 2016-12-22T07:22:09Z
dc.date.issued 2014
dc.identifier.citation Gray, J.; Haupt, A.S.; Lukas, A.: Topological invariants and fibration structure of complete intersection Calabi-Yau four-folds. In: Journal of High Energy Physics 2014 (2014), Nr. 9, 87. DOI: https://doi.org/10.1007/JHEP09(2014)093
dc.description.abstract We investigate the mathematical properties of the class of Calabi-Yau four-folds recently found in ref. [1]. 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 here. eng
dc.language.iso eng
dc.publisher Berlin : Springer Verlag
dc.relation.ispartofseries Journal of High Energy Physics 2014 (2014)
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Differential and Algebraic Geometry eng
dc.subject F-Theory eng
dc.subject Superstring Vacua eng
dc.subject.ddc 510 | Mathematik ger
dc.subject.ddc 530 | Physik ger
dc.title Topological invariants and fibration structure of complete intersection Calabi-Yau four-folds eng
dc.type article
dc.type Text
dc.relation.issn 11266708
dc.relation.doi https://doi.org/10.1007/JHEP09(2014)093
dc.bibliographicCitation.issue 9
dc.bibliographicCitation.volume 2014
dc.bibliographicCitation.lastPage 87
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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