su(5)-规范群的同伦类型

Pub Date : 2019-09-10 DOI:10.18910/57660
Tyrone Cutler, S. Theriault
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引用次数: 26

摘要

让$\mathcal{G}_k$是$S^4$与第二Chern类$k$上的主$SU(4)$-丛的测度群,并设$p$是素数。我们证明了存在一个有理或$p$-局部同伦论等价$\Omega\mathcal{G}_k\simeq\Omega\mathcal{G}_{k'}$当且仅当$(60,k)=(60,k')$。
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THE HOMOTOPY TYPES OF SU(5)-GAUGE GROUPS
Let $\mathcal{G}_k$ be the gauge group of the principal $SU(4)$-bundle over $S^4$ with second Chern class $k$ and let $p$ be a prime. We show that there is a rational or $p$-local homotopy equivalence $\Omega\mathcal{G}_k\simeq\Omega\mathcal{G}_{k'}$ if and only if $(60,k)=(60,k')$.
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