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Finiteness of $A_n$-equivalence types of gauge groups

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 نشر من قبل Mitsunobu Tsutaya
 تاريخ النشر 2011
  مجال البحث
والبحث باللغة English
 تأليف Mitsunobu Tsutaya




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Let $B$ be a finite CW complex and $G$ a compact connected Lie group. We show that the number of gauge groups of principal $G$-bundles over $B$ is finite up to $A_n$-equivalence for $n<infty$. As an example, we give a lower bound of the number of $A_n$-equivalence types of gauge groups of principal $SU(2)$-bundles over $S^4$.



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