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Rational Cohomology Algebra of Mapping Spaces between Complex Grassmannians

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  • Paul Antony Otieno
  • Jean Baptiste Gatsinzi
  • Vitalis Onyango-Otieno

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 .

Suggested Citation

  • Paul Antony Otieno & Jean Baptiste Gatsinzi & Vitalis Onyango-Otieno, 2020. "Rational Cohomology Algebra of Mapping Spaces between Complex Grassmannians," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:9385153
    DOI: 10.1155/2020/9385153
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