Relative Gottlieb Groups of Embeddings between Complex Grassmannians
Let Grk,n be the complex Grassmann manifold of k-linear subspaces in ℂn. We compute rational relative Gottlieb groups of the embedding i:Grk,n⟶Grk,n+r and show that the G-sequence is exact if r≥kn−k.
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Hindawi Limited
2021
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oai:doaj.org-article:9d7d1575955748948dac6056f970df122021-11-29T00:56:36ZRelative Gottlieb Groups of Embeddings between Complex Grassmannians1687-042510.1155/2021/1417769https://doaj.org/article/9d7d1575955748948dac6056f970df122021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/1417769https://doaj.org/toc/1687-0425Let Grk,n be the complex Grassmann manifold of k-linear subspaces in ℂn. We compute rational relative Gottlieb groups of the embedding i:Grk,n⟶Grk,n+r and show that the G-sequence is exact if r≥kn−k.J. B. GatsinziHindawi LimitedarticleMathematicsQA1-939ENInternational Journal of Mathematics and Mathematical Sciences, Vol 2021 (2021) |
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Mathematics QA1-939 |
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Mathematics QA1-939 J. B. Gatsinzi Relative Gottlieb Groups of Embeddings between Complex Grassmannians |
description |
Let Grk,n be the complex Grassmann manifold of k-linear subspaces in ℂn. We compute rational relative Gottlieb groups of the embedding i:Grk,n⟶Grk,n+r and show that the G-sequence is exact if r≥kn−k. |
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article |
author |
J. B. Gatsinzi |
author_facet |
J. B. Gatsinzi |
author_sort |
J. B. Gatsinzi |
title |
Relative Gottlieb Groups of Embeddings between Complex Grassmannians |
title_short |
Relative Gottlieb Groups of Embeddings between Complex Grassmannians |
title_full |
Relative Gottlieb Groups of Embeddings between Complex Grassmannians |
title_fullStr |
Relative Gottlieb Groups of Embeddings between Complex Grassmannians |
title_full_unstemmed |
Relative Gottlieb Groups of Embeddings between Complex Grassmannians |
title_sort |
relative gottlieb groups of embeddings between complex grassmannians |
publisher |
Hindawi Limited |
publishDate |
2021 |
url |
https://doaj.org/article/9d7d1575955748948dac6056f970df12 |
work_keys_str_mv |
AT jbgatsinzi relativegottliebgroupsofembeddingsbetweencomplexgrassmannians |
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1718407723130814464 |