Year: 2026
Type: preprint
Abstract: We prove that the critical value $2π^2$ is isolated for the Möbius cross energy of two-component links in the round three dimensional sphere $\mathbb{S}^{3}$. Specifically, there exists $\varepsilon_0>0$ such that any non-split, regular $H^2$ pair of curves with disjoint images, having vanishing first variation and energy at most $2π^2+\varepsilon_0$, must lie in the Möbius-reparametrization orbit of the standard Hopf link.
Source: arXiv (Cornell University)
Authors: Li, Chuanhuan, Li, Ronggang
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212770657
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