The Homotopy Types of SU(4)-Gauge Groups

2019/09/10 by Cutler, Tyrone, Theriault, Stephen
#54C35 (Secondary) #55P15 (Primary) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.04643

Abstract

Let G_k be the gauge group of the principal SU(4)-bundle over S⁴ with second Chern class k and let p be a prime. We show that there is a rational or p-local homotopy equivalence ΩG_k≃ΩG_k' if and only if (60,k)=(60,k').

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