Equivalence of Almgren-Pitts and phase-transition half-volume spectra

Talant Talipov

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arXiv · 2604.01091

Equivalence of Almgren-Pitts and phase-transition half-volume spectra

Talant Talipov

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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.

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Talant Talipov. 2026-04-01. Equivalence of Almgren-Pitts and phase-transition half-volume spectra. https://arxiv.org/abs/2604.01091

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