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arXiv · 2006.15965

Positive Scalar Curvature due to the Cokernel of the Classifying Map

Thomas Schick·Vito Felice Zenobi
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Abstract

This paper contributes to the classification of positive scalar curvature metrics up to bordism and up to concordance. Let $M$ be a closed spin manifold of dimension $\ge 5$ which admits a metric with positive scalar curvature. We give lower bounds on the rank of the group of psc metrics over $M$ up to bordism in terms of the corank of the canonical map $KO_*(M)\to KO_*(B\pi_1(M))$, provided the rational analytic Novikov conjecture is true for $\pi_1(M)$.

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BibTeXRIS

Thomas Schick, Vito Felice Zenobi. 2020-06-29. Positive Scalar Curvature due to the Cokernel of the Classifying Map. https://doi.org/10.3842/sigma.2020.129

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