The cohomology of the classifying space of $PU(4)$

Fuente: arXiv
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Main Author: Fan, Feifei
Format: Preprint
Published: 2024
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author Fan, Feifei
author_facet Fan, Feifei
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_08256
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The cohomology of the classifying space of $PU(4)$
Fan, Feifei
Algebraic Topology
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.
title The cohomology of the classifying space of $PU(4)$
topic Algebraic Topology
url https://arxiv.org/abs/2405.08256