TY - JOUR
T1 - A note on homotopy types of connected components of Map(S 4, BSU(2))
AU - Tsutaya, Mitsunobu
N1 - Funding Information:
The author is a Research Fellow of the Japan Society for the Promotion of Science.
PY - 2012/4
Y1 - 2012/4
N2 - Gottlieb has shown that connected components of Map(S 4, BSU(2)) are the classifying spaces of gauge groups of principal SU(2)-bundles over S 4. Tsukuda has investigated the homotopy types of connected components of Map(S 4, BSU(2)). But unfortunately, his proof is not complete for p=2. In this paper, we give a complete proof. Moreover, we investigate the further divisibility of ε i defined in Tsukuda's paper. We apply this to classification problem of gauge groups as A n-spaces.
AB - Gottlieb has shown that connected components of Map(S 4, BSU(2)) are the classifying spaces of gauge groups of principal SU(2)-bundles over S 4. Tsukuda has investigated the homotopy types of connected components of Map(S 4, BSU(2)). But unfortunately, his proof is not complete for p=2. In this paper, we give a complete proof. Moreover, we investigate the further divisibility of ε i defined in Tsukuda's paper. We apply this to classification problem of gauge groups as A n-spaces.
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U2 - 10.1016/j.jpaa.2011.10.020
DO - 10.1016/j.jpaa.2011.10.020
M3 - Article
AN - SCOPUS:84855229624
SN - 0022-4049
VL - 216
SP - 826
EP - 832
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 4
ER -