Stable 2-systole bounds in positive scalar curvature

TL;DR

This paper establishes uniform bounds on the stable 2-systole for certain manifolds with scalar curvature at least one, expanding understanding in geometric analysis.

Contribution

It proves the stable 2-systole is uniformly bounded on a class of manifolds with positive scalar curvature, including specific spin 2-essential manifolds.

Findings

Stable 2-systole is bounded for manifolds with scalar curvature ≥ 1.

Includes manifolds like S^2×S^2, S^2×T^n, and complex projective spaces.

Results apply to closed spin 2-essential manifolds.

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