Rational homotopy of mapping spaces between complex Grassmannians

Gatsinzi, J.-B.; Otieno, Paul Antony; Onyango-Otieno, Vitalis

doi:10.2989/16073606.2019.1601139

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Cited by 4 publications

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“…The computation of rational relative evaluation subgroups have been receiving a growing attention and have become a popular subject of study with a lot of progresses (see [3,6,12,13] for instance). Our goal in this paper is to compute these subgroups in some new cases.…”

Section: Introductionmentioning

confidence: 99%

Evaluation Subgroups of a map between Rational Finite H-Spaces

ZAIM

2024

KgJMat

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Section: Introductionmentioning

confidence: 99%

Evaluation Subgroups of a map between Rational Finite H-Spaces

ZAIM

2024

KgJMat

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“…Consider the natural inclusion i n,k : CP n → CP n+k between complex projective spaces. An L ∞ model of map(CP n , CP n+k ; i n,k ) was described in [8], from which the following is derived.…”

Section: Introductionmentioning

confidence: 99%

Generalized Rational Evaluation Subgroups of the Inclusion between Complex Projective Spaces

Gatsinzi

2023

Armen.J.Math.

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Rational Cohomology Algebra of Mapping Spaces between Complex Grassmannians

Otieno

Gatsinzi

Onyango-Otieno

2020

International Journal of Mathematics and Mathematical Sciences

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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.

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Rational homotopy of mapping spaces between complex Grassmannians

Cited by 4 publications

References 10 publications

Evaluation Subgroups of a map between Rational Finite H-Spaces

Evaluation Subgroups of a map between Rational Finite H-Spaces

Generalized Rational Evaluation Subgroups of the Inclusion between Complex Projective Spaces

Rational Cohomology Algebra of Mapping Spaces between Complex Grassmannians

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