The cohomology of the classifying space of PU(4)

Let [Formula: see text] be the classifying space of the projective unitary group [Formula: see text]. We determine the integral cohomology ring of [Formula: see text], and the Steenrod algebra structure of its mod [Formula: see text] cohomology.

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Publication Details

Journal
Journal of Topology and Analysis
Published
2024-11-29
DOI
https://doi.org/10.1142/s179352532450050x
Citations
1
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.89
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article

The cohomology of the classifying space of PU(4)

Feifei Fan
1 citations
Journal of Topology and Analysis
Advanced Algebra and Geometry
0.89
article

The cohomology of the classifying space of PU(4)

Feifei Fan
article en
1 citations

Abstract

Let [Formula: see text] be the classifying space of the projective unitary group [Formula: see text]. We determine the integral cohomology ring of [Formula: see text], and the Steenrod algebra structure of its mod [Formula: see text] cohomology.

Journal of Topology and AnalysisVol. 18(03)
South China Normal University (CN)
Reduced inequalities
Openalex Percentile: Top 26%
Advanced Algebra and Geometry
0.89
DOISourceOpenAlex
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The cohomology of the classifying space of PU(4) — Feifei Fan · Journal of Topology and Analysis (2024) | TGRS Research Map | TGRS