Stable 2-systole bounds in positive scalar curvature

Fuente: arXiv
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Autor principal: Stryker, Douglas
Formato: Preprint
Publicado: 2026
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author Stryker, Douglas
author_facet Stryker, Douglas
contents We prove that the stable 2-systole is uniformly bounded on the space of Riemannian metrics with scalar curvature at least one for closed spin 2-essential manifolds, which includes $S^2 \times S^2$, $S^2 \times T^n$, and $\mathbb{C}\mathbb{P}^{2n+1}$.
format Preprint
id arxiv_https___arxiv_org_abs_2604_22106
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Stable 2-systole bounds in positive scalar curvature
Stryker, Douglas
Differential Geometry
We prove that the stable 2-systole is uniformly bounded on the space of Riemannian metrics with scalar curvature at least one for closed spin 2-essential manifolds, which includes $S^2 \times S^2$, $S^2 \times T^n$, and $\mathbb{C}\mathbb{P}^{2n+1}$.
title Stable 2-systole bounds in positive scalar curvature
topic Differential Geometry
url https://arxiv.org/abs/2604.22106