The stable Bernstein theorem in ${\mathbb{R}}^7$

Abstract

We give a Green-function proof of the stable Bernstein theorem in ${\mathbb{R}}^7$ for smooth, connected, complete, two-sided minimal hypersurface, thus resolving the last case in stable Bernstein problem.

85 pages. Mathematica verification code: https://github.com/wgaom/stable-bernstein-R7. All comments are welcome