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

Abstract

Let Y = Hom(Z^n, 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.

9 pages; added references

References in corpus (1)

• Cohomology of the space of commuting n-tuples in a compact Lie group

Cited by in corpus (2)

• Topology of character varieties of Abelian groups
• Counting Conjugacy Classes of Elements of Finite Order in Lie Groups