Machine learning Kreuzer–Skarke Calabi–Yau threefolds

By using a fully connected feedforward neural network, we study topological invariants of a class of Calabi–Yau manifolds constructed as hypersurfaces in toric varieties associated with reflexive polytopes from the Kreuzer–Skarke database. In particular, we find the existence of a simple expression for the Euler number that can be learned in terms of limited data extracted from the polytope and its dual.

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Publication Details

Journal
International Journal of Modern Physics A
Published
2025-08-21
DOI
https://doi.org/10.1142/s0217751x25500976
Citations
2
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
3.69

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article

Machine learning Kreuzer–Skarke Calabi–Yau threefolds

B. Campbell, Vishnu Jejjala, Per Berglund
2 citations
International Journal of Modern Physics A
Advanced Algebra and Geometry
3.69
article

Machine learning Kreuzer–Skarke Calabi–Yau threefolds

B. Campbell, Vishnu Jejjala, Per Berglund
article en
2 citations

Abstract

By using a fully connected feedforward neural network, we study topological invariants of a class of Calabi–Yau manifolds constructed as hypersurfaces in toric varieties associated with reflexive polytopes from the Kreuzer–Skarke database. In particular, we find the existence of a simple expression for the Euler number that can be learned in terms of limited data extracted from the polytope and its dual.

International Journal of Modern Physics AVol. 40(28)
University of New Hampshire (US), University of the Witwatersrand (ZA), National Institute for Theoretical Physics (ZA)
U.S. Department of Energy
Openalex Percentile: Top 8%
Advanced Algebra and Geometry
3.69
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