The homotopy types of \(SU(5)\)-gauge groups

zbMath1315.55005MaRDI QIDQ2341642

Stephen D. Theriault

Publication date: 27 April 2015

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1427202869

zbMATH Keywords

Lie grouphomotopy typegauge groupprincipal bundle

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Function spaces in general topology (54C35) Localization and completion in homotopy theory (55P60) Loop spaces (55P35)

Related Items (15)

Homotopy of gauge groups over non-simply-connected five-dimensional manifolds ⋮ 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 \(S^4\) ⋮ Odd primary homotopy types of the gauge groups of exceptional Lie groups ⋮ The homotopy types of \(PSp(n)\)-gauge groups over \(S^{2m}\) ⋮ Homotopy types of gauge groups related to \(S^{3}\)-bundles over \(S^{4}\) ⋮ Homotopy types of \( SU (n)\)-gauge groups over non-spin 4-manifolds ⋮ Homotopy types of gauge groups of \(\mathrm{PU}(p)\)-bundles over spheres ⋮ The homotopy types of \(\mathrm{Sp}(2)\)-gauge groups over closed simply connected four-manifolds ⋮ The homotopy types of \(\mathrm{SU}(n)\)-gauge groups over \(S^6\) ⋮ HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS ⋮ The homotopy types of \(SU(4)\)-gauge groups over \(S^8\)

Cites Work

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• On homotopy groups of \(S^ 3\)-bundles over spheres
• Counting Homotopy Types of Gauge Groups
• A note on the homotopy type of certain gauge groups
• Characteristic Classes and Homogeneous Spaces, I
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Function spaces related to gauge groups
• The Yang-Mills equations over Riemann surfaces
• Unstable K¹-group and homotopy type of certain gauge groups
• Applications of Bundle Map Theory
• SAMELSON PRODUCTS OF SO(3) AND APPLICATIONS

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