Positive Scalar Curvature due to the Cokernel of the Classifying Map
This paper contributes to the classification of positive scalar curvature metrics up to bordism and up to concordance. Let 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 up to bordis...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211090 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Positive Scalar Curvature due to the Cokernel of the Classifying Map. Thomas Schick and Vito Felice Zenobi. SIGMA 16 (2020), 129, 12 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862689124492771328 |
|---|---|
| author | Schick, Thomas Zenobi, Vito Felice |
| author_facet | Schick, Thomas Zenobi, Vito Felice |
| citation_txt | Positive Scalar Curvature due to the Cokernel of the Classifying Map. Thomas Schick and Vito Felice Zenobi. SIGMA 16 (2020), 129, 12 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This paper contributes to the classification of positive scalar curvature metrics up to bordism and up to concordance. Let 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 up to bordism in terms of the corank of the canonical map ∗() → ∗(Bπ₁()), provided the rational analytic Novikov conjecture is true for π₁().
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| first_indexed | 2026-03-17T19:47:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211090 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-17T19:47:57Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Schick, Thomas Zenobi, Vito Felice 2025-12-23T13:13:24Z 2020 Positive Scalar Curvature due to the Cokernel of the Classifying Map. Thomas Schick and Vito Felice Zenobi. SIGMA 16 (2020), 129, 12 pages 1815-0659 2020 Mathematics Subject Classification: 53C20; 53C21; 53C27; 55N22; 19K56; 19L64 arXiv:2006.15965 https://nasplib.isofts.kiev.ua/handle/123456789/211090 https://doi.org/10.3842/SIGMA.2020.129 This paper contributes to the classification of positive scalar curvature metrics up to bordism and up to concordance. Let 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 up to bordism in terms of the corank of the canonical map ∗() → ∗(Bπ₁()), provided the rational analytic Novikov conjecture is true for π₁(). The authors thank the German Science Foundation and its priority program "Geometry at Infinity" for partial support. We thank the referees for a number of helpful suggestions improving the presentation and helping to avoid inaccuracies. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Positive Scalar Curvature due to the Cokernel of the Classifying Map Article published earlier |
| spellingShingle | Positive Scalar Curvature due to the Cokernel of the Classifying Map Schick, Thomas Zenobi, Vito Felice |
| title | Positive Scalar Curvature due to the Cokernel of the Classifying Map |
| title_full | Positive Scalar Curvature due to the Cokernel of the Classifying Map |
| title_fullStr | Positive Scalar Curvature due to the Cokernel of the Classifying Map |
| title_full_unstemmed | Positive Scalar Curvature due to the Cokernel of the Classifying Map |
| title_short | Positive Scalar Curvature due to the Cokernel of the Classifying Map |
| title_sort | positive scalar curvature due to the cokernel of the classifying map |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211090 |
| work_keys_str_mv | AT schickthomas positivescalarcurvatureduetothecokerneloftheclassifyingmap AT zenobivitofelice positivescalarcurvatureduetothecokerneloftheclassifyingmap |