Odd primary homotopy types of the gauge groups of exceptional Lie groups

2018/03/28 by Hasui, Sho, Kishimoto, Daisuke, So, Tseleung +1
#54C35 (Secondary) #55P15 (Primary) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.10401

Abstract

The p-local homotopy types of gauge groups of principal G-bundles over S⁴ are classified when G is a compact connected exceptional Lie group without p-torsion in homology except for (G,p)=(E₇,5).

Related

• Homotopy types of gauge groups over non-simply-connected closed 4-manifolds
• Homotopy types of gauge groups related to S³-bundles over S⁴
• Homotopy types of SU(n)-gauge groups over non-spin 4-manifolds
• The Homotopy Types of SU(4)-Gauge Groups
• Homotopy types of Spin^c(n)-gauge groups over S⁴