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 ≥ 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) → KO*(Bπ1(M)), provided the rational analytic Novikov conjecture is true for π1(M).
Positive scalar curvature due to the cokernel of the classifying map / Schick, T.; Zenobi, V. F.. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - 16:(2020). [10.3842/SIGMA.2020.129]
Positive scalar curvature due to the cokernel of the classifying map
Schick T.
;Zenobi V. F.
2020
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 ≥ 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) → KO*(Bπ1(M)), provided the rational analytic Novikov conjecture is true for π1(M).| File | Dimensione | Formato | |
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