Machine Learning Sasakian and G2 topology on contact Calabi-Yau 7-manifolds

Abstract: Calabi-Yau links are constructed for all 7555 weighted projective spaces with Calabi-Yau 3-fold hypersurfaces. Topological properties such as the Crowley-Nordström invariants and Sasakian Hodge numbers are computed, leading to new invariant values and some conjectures on their construction. Machine learning methods are implemented to predict these invariants, as well as to optimise their computation via Gröbner bases.

machine learningmathematical physicsalgebraic geometryalgebraic topology

Audience: researchers in the topic

DANGER3: Data, Numbers, and Geometry