Author:
Kishimoto Daisuke,Membrillo-Solis Ingrid,Theriault Stephen
Abstract
AbstractThe homotopy types of gauge groups of principal $$\mathrm{SO}(4)$$
SO
(
4
)
-bundles over $$S^{4}$$
S
4
are classified p-locally for every prime p, and partial results are obtained integrally. The method generalizes to deal with any quotient of the form $$(S^{3})^{n}/Z$$
(
S
3
)
n
/
Z
where Z is a subgroup generated by $$(-1,\ldots ,-1)$$
(
-
1
,
…
,
-
1
)
.
Funder
Japan Society for the Promotion of Science
Engineering and Physical Sciences Research Council
Leverhulme Trust
Publisher
Springer Science and Business Media LLC
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