2010年

# Notes on the Triviality of Adjoint Bundles

HOMOTOPY THEORY OF FUNCTION SPACES AND RELATED TOPICS
• Akira Kono
• ,
• Shuichi Tsukuda

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AMER MATHEMATICAL SOC

Let G be a connected compact Lie group and B a finite CW-complex. We show that, if p is a prime large enough, then, for every principal G bundle P -&gt; B, the adjoint bundle AdP is fibrewise p-local trivial and in particular, the gauge group has the p-local homotopy type of Map(B, G((p))).

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Web of Science