Analysis reveals a learnable expression for the Euler number of Calabi–Yau shapes, suggesting new insights into their invariants.
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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Berglund et al. (2025) studied this question.
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