For closed oriented manifolds X with dim X ≥ 5 and χ(X)=0, the Rosenberg S¹-stability conjecture holds: X × S¹ admits a PSC metric if and only if X does.
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The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $
For closed oriented manifolds X with dim X ≥ 5 and χ(X)=0, the Rosenberg S¹-stability conjecture holds: X × S¹ admits a PSC metric if and only if X does.