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arXiv · 2309.07741

Strong multiplicity one theorems and homological min-max theory

Adrian Chun-Pong Chu·Yangyang Li
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Abstract

It was asked by Marques-Neves which min-max $p$-widths of the unit $3$-sphere lie strictly between $2\pi^2$ and $8\pi$. We show that the 10th to the 13th widths do. More generally, we prove stronger versions of X. Zhou's multiplicity one theorem.

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Adrian Chun-Pong Chu, Yangyang Li. 2023-09-14. Strong multiplicity one theorems and homological min-max theory. https://arxiv.org/abs/2309.07741

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