#calabi conjecture

[rauko]

Calabi-Yau Manifolds [Harvard Mathematics Department] ⊗

6-Dimensional Compact, Complex Kähler Manifold, Ricci-Flat, 𝑐₁= 𝟢

[Eugenio Calabi, 1954 | Shing-Tung Yau, 1978]

[rauko]

A Four Dimensional Calabi-Yau Manifold, also known as a K3 Surface

Since Shing-Tung Yau's 1978 proof of Eugenio Calabi's 1954 theorem for a 6–Dimensional Compact, Complex Kähler Manifold, there are thought to be 10⁵⁰⁰ surfaces of C-Y Manifold flux compactifications.

The partial differential geometry of String Theory points directly to a quintic threefold within the known collection of C-Y sets, which is the exact topology that completes their theory of quantum supergravity.

Today, String Theorists are actively looking for this precise match in polytope databases such as PALP —created by Maximilian Kreuzer.