The cohomology of the classifying space of PU(4)

2024/05/14 by Feifei Fan, Fan, Feifei
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2405.08256

openalex publication_date 2024/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let BPU(n) be the classifying space of the projective unitary group PU(n). We determine the integral cohomology ring of BPU(4), and the Steenrod algebra structure of its mod 2 cohomology.

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