Multiplicity one for equivariant min-max theory in prescribed homology classes

Tongrui Wang

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arXiv · 2601.09884

Multiplicity one for equivariant min-max theory in prescribed homology classes

Tongrui Wang

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Abstract

For a closed Riemannian manifold $M$ with a compact Lie group $G$ acting by isometries, we show a generic multiplicity one theorem in equivariant min-max theory, and show in generic sense that there are infinitely many $G$-invariant minimal hypersurfaces in a fixed $G$-homology class. We also establish an equivariant min-max theory for $G$-invariant hypersurfaces of prescribed mean curvature with $G$-index upper bounds.

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Tongrui Wang. 2026-01-14. Multiplicity one for equivariant min-max theory in prescribed homology classes. https://arxiv.org/abs/2601.09884

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