Samelson products in Sp(2)

DOI10.1016/j.topol.2008.02.008zbMath1144.55014OpenAlexW2038792711MaRDI QIDQ929980

Hiroaki Hamanaka, Akira Kono, Shizuo Kaji

Publication date: 19 June 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.02.008

zbMATH Keywords

gauge groupSamelson producthomotopy commutativity

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Whitehead products and generalizations (55Q15)

Related Items (11)

The order of Samelson products in \(Sp (n)\) ⋮ On the homotopy types of $\mathrm{Sp}(n)$ gauge groups ⋮ Homotopy types of \(\mathrm{Spin}^{\mathrm{c}} (n)\)-gauge groups over \(S^4\) ⋮ Mod \(p\) decompositions of gauge groups ⋮ The homotopy types of Sp(2)-gauge groups ⋮ The homotopy types of \(PSp(n)\)-gauge groups over \(S^{2m}\) ⋮ Infiniteness ofA_∞-types of gauge groups ⋮ The homotopy types of \(\mathrm{SU}(n)\)-gauge groups over \(S^6\) ⋮ The homotopy types of \(SU(4)\)-gauge groups over \(S^8\) ⋮ Homotopy of gauge groups over high-dimensional manifolds ⋮ Homotopy pullback of \(A_n\)-spaces and its applications to \(A_n\)-types of gauge groups

Cites Work

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• Homotopy type of gauge groups of SU(3)-bundles over S\(^{6}\)
• On \([X,U(n)\) when \(\dim X\) is \(2n\)]
• Homotopy groups of symplectic groups
• Homotopy limits, completions and localizations
• Counting Homotopy Types of Gauge Groups
• A note on the homotopy type of certain gauge groups
• Homotopy Commutativity in Localized Groups
• The Yang-Mills equations over Riemann surfaces
• Unstable K¹-group and homotopy type of certain gauge groups
• The evaluation map and E H P sequences

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