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Learning 3-manifolds

AI-assisted maths

Learning 3-manifold triangulations

Journal of Physics A 58, 95201 (2025)

F. Constantino, Y. He, E. Heyes, E. Hirst

We apply machine learning to the study of topological features related to Sasakian and G2-geometries derived from Calabi-Yau manifolds. We compute extensive datasets of invariants—including Hodge numbers and the Crowley–Nördstrom invariant—for more than 7000 manifolds realised as hypersurfaces in weighted projective space. Neural networks and a symbolic regressors are used to uncover new patterns in these invariants.

Journal of Physics A 58, 95201 (2025)

F. Constantino, Y. He, E. Heyes, E. Hirst