A note on the homotopy type of certain gauge groups

DOI10.1017/S0308210500024732zbMath0722.55008OpenAlexW2332105081MaRDI QIDQ3209856

Akira Kono

Publication date: 1991

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/s0308210500024732

zbMATH Keywords

gauge groupprincipal SU(2) bundle

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Classification of fiber spaces or bundles in algebraic topology (55R15)

Related Items (38)

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 ⋮ Homotopy type of gauge groups of SU(3)-bundles over S\(^{6}\) ⋮ On the homotopy types of $\mathrm{Sp}(n)$ gauge groups ⋮ The mod-p homology of the classifying spaces of certain 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 \(S^4\) ⋮ A note on homotopy types of connected components of Map \((S^4, BSU(2))\) ⋮ Criteria for components of a function space to be homotopy equivalent ⋮ 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 ⋮ Homotopy types of gauge groups related to \(S^{3}\)-bundles over \(S^{4}\) ⋮ Samelson products in Sp(2) ⋮ Homology of gauge groups associated with special unitary groups ⋮ The Samelson product and rational homotopy for gauge groups ⋮ Refined gauge group decompositions ⋮ Odd primary homotopy decompositions of gauge groups ⋮ Comparing the homotopy types of the components of \(\text{Map} (S^4, B\text{SU}(2))\) ⋮ 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 ⋮ Splitting 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 \(S^6\) ⋮ Rational homotopy of gauge groups ⋮ The homotopy types of \(\mathrm{SO}(4)\)-gauge groups ⋮ HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS ⋮ Rational homotopy type of the classifying space for fibrewise self-equivalences ⋮ The homotopy types of \(SU(4)\)-gauge groups over \(S^8\) ⋮ The homotopy types of \(SU(5)\)-gauge groups ⋮ 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

• The Yang-Mills equations over Riemann surfaces

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