Homotopy types of gauge groups of $$\mathrm {PU}(p)$$-bundles over spheres
نویسندگان
چکیده
Abstract We examine the relation between gauge groups of $$\mathrm {SU}(n)$$ SU ( n ) - and {PU}(n)$$ PU -bundles over $$S^{2i}$$ S 2 i , with $$2\le i\le n$$ ≤ particularly when n is a prime. As special cases, for {PU}(5)$$ 5 $$S^4$$ 4 we show that there rational or p -local equivalence $$\mathcal {G}_{2,k}\simeq _{(p)}\mathcal {G}_{2,l}$$ G , k ≃ p l any prime if, only $$(120,k)=(120,l)$$ 120 = while {PU}(3)$$ 3 $$S^6$$ 6 an integral {G}_{3,k}\simeq \mathcal {G}_{3,l}$$ .
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ژورنال
عنوان ژورنال: Journal of Homotopy and Related Structures
سال: 2021
ISSN: ['2193-8407']
DOI: https://doi.org/10.1007/s40062-020-00274-0