Machine learning topology of Calabi-Yau links
DOI:
https://doi.org/10.5540/03.2025.011.01.0422Keywords:
G2-manifolds, contact Calabi-Yau manifolds, machine learning, Hodge numbers, Crowley-Nördstrom invariantAbstract
Calabi-Yau links arise as special sphere fibrations over Calabi-Yau manifolds. In the 7-dimensional case, the links exhibit Sasakian and G2 structures. In this summary, previous work is revisited, where machine learning and data science techniques are used to study topological quantities related to the Sasakian and G2 geometries of contact Calabi-Yau 7-manifolds. Particularly, properties of the respective Gröbner bases are well-learnt, and machine learning of those further induced novel conjectures to be raised.
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