Rational Cohomology Algebra of Mapping Spaces between Complex Grassmannians
Joint Authors
Otieno, Paul Antony
Gatsinzi, Jean Baptiste
Onyango-Otieno, Vitalis
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-29
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We consider the complex Grassmannian Grk,n of k-dimensional subspaces of ℂn.
There is a natural inclusion in,r:Grk,n↪Grk,n+r.
Here, we use Sullivan models to compute the rational cohomology algebra of the component of the inclusion in,r in the space of mappings from Grk,n to Grk,n+r for r≥1 and in particular to show that the cohomology of mapGrn,k,Grn,k+r;in,r contains a truncated algebra ℚx/xr+n+k2−nk, where x=2, for k≥2 and n≥4.
American Psychological Association (APA)
Otieno, Paul Antony& Gatsinzi, Jean Baptiste& Onyango-Otieno, Vitalis. 2020. Rational Cohomology Algebra of Mapping Spaces between Complex Grassmannians. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1172722
Modern Language Association (MLA)
Otieno, Paul Antony…[et al.]. Rational Cohomology Algebra of Mapping Spaces between Complex Grassmannians. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-4.
https://search.emarefa.net/detail/BIM-1172722
American Medical Association (AMA)
Otieno, Paul Antony& Gatsinzi, Jean Baptiste& Onyango-Otieno, Vitalis. Rational Cohomology Algebra of Mapping Spaces between Complex Grassmannians. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1172722
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172722