Equivariant min-max theory

Daniel Ketover

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arXiv · 1612.08692

Equivariant min-max theory

Daniel Ketover

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Abstract

We develop an equivariant min-max theory as proposed by Pitts-Rubinstein in 1988 and then show that it can produce many of the known minimal surfaces in $\mathbb{S}^3$ up to genus and symmetry group. We also produce several new infinite families of minimal surfaces in $\mathbb{S}^3$ proposed by Pitts-Rubinstein. These examples are doublings and desingularizations of stationary integral varifolds in $\mathbb{S}^3$.

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Daniel Ketover. 2016-12-27. Equivariant min-max theory. https://arxiv.org/abs/1612.08692

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