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- W4308619095 abstract "We show that the number of genus $g$ embedded minimal surfaces in $mathbb{S}^3$ tends to infinity as $grightarrowinfty$. The surfaces we construct resemble doublings of the Clifford torus with curvature blowing up along torus knots as $grightarrowinfty$, and arise from a two-parameter min-max scheme in lens spaces. More generally, by stabilizing and flipping Heegaard foliations we produce index at most $2$ minimal surfaces with controlled topological type in arbitrary Riemannian three-manifolds." @default.
- W4308619095 created "2022-11-13" @default.
- W4308619095 creator A5024143049 @default.
- W4308619095 date "2022-11-07" @default.
- W4308619095 modified "2023-09-28" @default.
- W4308619095 title "Flipping Heegaard splittings and minimal surfaces" @default.
- W4308619095 doi "https://doi.org/10.48550/arxiv.2211.03745" @default.
- W4308619095 hasPublicationYear "2022" @default.
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