Full generic regularity II for min-max minimal hypersurfaces

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Let Mn+1M^{n+1} be a closed smooth manifold, and let gg be a Baire CC^\infty-generic Riemannian metric on MM. A min-max gg-minimal hypersurface is a minimal hypersurface generated by min-max theory. Full generic regularity II. Every min-max gg-minimal hypersurface is smooth. This extends the preceding generic regularity conjecture from area minimizers to min-max minimal hypersurfaces, which are not generally area minimizing. The conjecture is relevant to extending generic regularity and density results to higher dimensions.

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Primary source

Yangyang Li and Zhihan Wang, “Minimal hypersurfaces for generic metrics in dimension 8”, arXiv:2205.01047 (2022).

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