Rational Cohomology Algebra of Mapping Spaces between Complex Grassmannians

Paul Antony Otieno, Jean Baptiste Gatsinzi and Vitalis Onyango-Otieno

International Journal of Mathematics and Mathematical Sciences, 2020, vol. 2020, 1-4

Abstract:

We consider the complex Grassmannian of k -dimensional subspaces of . There is a natural inclusion . Here, we use Sullivan models to compute the rational cohomology algebra of the component of the inclusion in the space of mappings from to for and in particular to show that the cohomology of contains a truncated algebra , where , for and .

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9385153

DOI: 10.1155/2020/9385153

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