Unstable K1-group and homotopy type of certain gauge groups

DOI10.1017/S0308210500004480zbMath1103.55004OpenAlexW2037482076MaRDI QIDQ5473377

Hiroaki Hamanaka, Akira Kono

Publication date: 21 June 2006

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500004480

zbMATH Keywords

principal \(G\)-bundlehomotopy equivalent

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Classification of fiber spaces or bundles in algebraic topology (55R15) Homology and homotopy of topological groups and related structures (57T99)

Related Items (27)

Homotopy of gauge groups over non-simply-connected five-dimensional manifolds ⋮ The homotopy type of a once-suspended 6-manifold and its applications ⋮ The homotopy types of \(G_{2}\)-gauge groups ⋮ On the homotopy types of $\mathrm{Sp}(n)$ gauge groups ⋮ The homotopy types of \(Sp(3)\)-gauge groups ⋮ Homotopy types of gauge groups over Riemann surfaces ⋮ 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 ⋮ Odd primary homotopy types of the gauge groups of exceptional Lie groups ⋮ The homotopy types of \(PSp(n)\)-gauge groups over \(S^{2m}\) ⋮ Samelson products in Sp(2) ⋮ Refined gauge group decompositions ⋮ Odd primary homotopy decompositions of gauge groups ⋮ 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 ⋮ Homotopy types of gauge groups of \(\mathrm{PU}(p)\)-bundles over spheres ⋮ SAMELSON PRODUCTS OF SO(3) AND APPLICATIONS ⋮ Infiniteness ofA_∞-types of gauge groups ⋮ The homotopy types of \(\mathrm{Sp}(2)\)-gauge groups over closed simply connected four-manifolds ⋮ Homotopy type of gauge groups of quaternionic line bundles over spheres ⋮ The homotopy types of \(\mathrm{SU}(n)\)-gauge groups over \(S^6\) ⋮ The homotopy types of \(\mathrm{SO}(4)\)-gauge groups ⋮ HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS ⋮ The homotopy types of \(SU(4)\)-gauge groups over \(S^8\) ⋮ The homotopy types of \(SU(5)\)-gauge groups ⋮ A formula on Stirling numbers of the second kind and its application to the unstable \(K\)-theory of stunted complex projective spaces

This page was built for publication: Unstable K¹-group and homotopy type of certain gauge groups