Strong multiplicity one theorems and homological min-max theory

2023/09/14 by Chu, Adrian Chun-Pong, Li, Yangyang · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.07741

Abstract

It was asked by Marques-Neves which min-max p-widths of the unit 3-sphere lie strictly between 2π² and 8π. We show that the 10th to the 13th widths do. More generally, we prove stronger versions of X. Zhou's multiplicity one theorem.

Cited by

• The p-widths of a polygon
• Volume spectrum of fiber bundles and the widths of Berger spheres

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