K7 Manifold - Blueprint Construction Graph

What is K7?

K7 is a compact 7-dimensional manifold with G2 holonomy. GIFT establishes its existence via variational methods: a physics-informed neural network finds a metric satisfying topological constraints from the TCS framework, then Joyce's theorem guarantees a nearby torsion-free solution.

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Joyce margin

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Algebraic Input

Topological

Geometric

Derived

Physical Output