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math.DG2026
Stable 2-systole bounds in positive scalar curvature
Douglas Stryker
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…
math.DG2026
A spinor proof of the classification of stable minimal surfaces in
Douglas Stryker
We give a proof that every complete two-sided stable minimal surface in is flat using the index theory for Dirac operators on twisted spinor bundles.