On \([X,U(n)]\) when \(\dim X\) is \(2n\)

DOI10.1215/KJM/1250283730zbMath1070.55007OpenAlexW1487388137MaRDI QIDQ1890281

Akira Kono, Hiroaki Hamanaka

Publication date: 29 December 2004

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250283730

zbMATH Keywords

cohomologyunitary groupK-theoryCW complexset of homotopy classes

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Topological (K)-theory (55N15)

Related Items (12)

On Samelson products in \(p\)-localized unitary groups ⋮ Nilpotency of unstable \(K\)-theory ⋮ Homotopy type of gauge groups of SU(3)-bundles over S\(^{6}\) ⋮ On localized self-homotopy groups of \(SU(4)\) and \(Sp(4)\) ⋮ Samelson products in Sp(2) ⋮ On the commutativity of the localized self homotopy groups of \(SU(n)\) ⋮ Commutativity in special unitary groups at odd primes ⋮ The homotopy types of \(SU(3)\)-gauge groups over simply connected 4-manifolds ⋮ Homotopy types of \( SU (n)\)-gauge groups over non-spin 4-manifolds ⋮ The homotopy types of \(\mathrm{SU}(n)\)-gauge groups over \(S^6\) ⋮ The homotopy types of \(SU(4)\)-gauge groups over \(S^8\) ⋮ A formula on Stirling numbers of the second kind and its application to the unstable \(K\)-theory of stunted complex projective spaces

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