Homology of gauge groups associated with special unitary groups

• Published in: Topology and its applications Vol. 155; no. 12; pp. 1340 - 1349
• Main Author: Choi, Younggi
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15-06-2008
• Subjects: Eilenberg–Moore spectral sequence; Gauge group; Iterated loop space; Serre spectral sequence; Unitary group; Iterated loop space; 55R20; 57T10; Gauge group; Eilenberg–Moore spectral sequence; Serre spectral sequence; Unitary group
• ISSN: 0166-8641; 1879-3207
• DOI: 10.1016/j.topol.2008.03.019

We study the homology of gauge groups associated with principal
SU
(
n
)
bundles over the four-sphere. After computing the mod
p homology of based gauge groups of
SU
(
n
)
by combined use of the Serre spectral sequence and the Eilenberg–Moore spectral sequence, we compute the mod
p homology of gauge groups of
SU
(
n
)
using the Serre spectral sequence for the evaluation fibration.