Stable 2-systole bounds in positive scalar curvature

Douglas Stryker

Stable 2-systole bounds in positive scalar curvature

Differential Geometry 2026-04-27 v1

Authors: Douglas Stryker

Abstract

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 $\mathbb{C}\mathbb{P}^{2n+1}$ .

Keywords

Riemannian geometry stable systole scalar curvature spin manifolds 2-systole

Cite

@article{arxiv.2604.22106,
  title  = {Stable 2-systole bounds in positive scalar curvature},
  author = {Douglas Stryker},
  journal= {arXiv preprint arXiv:2604.22106},
  year   = {2026}
}

Comments

18 pages

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