### PSC obstructions via infinite width and index theory

In a recent preprint (arXiv:2108.08506), Yosuke Kubota proved an intriguing new result on the relation of largeness properties of spin manifolds and index-theoretic obstructions to positive scalar curvature (psc): Let $$M$$ be a closed spin $$n$$-manifold. If $$M$$ has infinite $$\mathcal{KO}$$-width, then its Rosenberg index $$\alpha(M) \in \mathrm{KO}_n(\mathrm{C}^\ast_{\max} \pi_1 M)$$ does not vanish. Let us … Continue reading "PSC obstructions via infinite width and index theory"