The space of commuting n-tuples in SU(2)

2009/11/25 by Thomas John Baird, Thomas Baird, Baird, Thomas +5
Mathematics · #55R40 #57S05 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55R40 #msc:57S05

paper · pdf · doi:10.48550/arxiv.0911.4953

9 pages; added references

openalex publication_date 2009/11/25 · arxiv created 2010/01/04 · arxiv updated 2010/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Y = Hom(Zⁿ, SU(2)) denote the space of commuting n-tuples in SU(2). We determine the homotopy type of the suspension of Y and compute the integral cohomology groups of Y for all positive integers n.

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