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

Thu, 11/26/2009 - 16:01 — SomNambul
Authors: Thomas Baird, Lisa Jeffrey, Paul Selick
Subjects: Algebraic Topology
link: http://arxiv.org/abs/0911.4953
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.