Equivalence of Almgren-Pitts and phase-transition half-volume spectra
Differential Geometry
2026-04-02 v1 Analysis of PDEs
Metric Geometry
Abstract
We prove that the Almgren-Pitts and phase-transition half-volume spectra of a closed Riemannian manifold are equal. This confirms a conjecture of Liam Mazurowski and Xin Zhou.
Keywords
Cite
@article{arxiv.2604.01091,
title = {Equivalence of Almgren-Pitts and phase-transition half-volume spectra},
author = {Talant Talipov},
journal= {arXiv preprint arXiv:2604.01091},
year = {2026}
}
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