The homotopy types of Sp(2)-gauge groups

DOI10.1215/0023608X-2010-005zbMath1202.55004MaRDI QIDQ1958474

Stephen D. Theriault

Publication date: 29 September 2010

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

zbMATH Keywords

Lie groupgauge grouphomotopy equivalenceSamelson product

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Function spaces in general topology (54C35) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60)

Related Items (21)

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 \(S^4\) ⋮ Mod \(p\) decompositions of gauge groups ⋮ Odd primary homotopy types of the gauge groups of exceptional Lie groups ⋮ The homotopy types of \(PSp(n)\)-gauge groups over \(S^{2m}\) ⋮ Homotopy types of gauge groups related to \(S^{3}\)-bundles over \(S^{4}\) ⋮ Refined gauge group decompositions ⋮ 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 ⋮ Infiniteness ofA_∞-types of gauge groups ⋮ 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 \(S^6\) ⋮ 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

Cites Work

• Unnamed Item
• A note on the Samelson product in the classical groups
• Samelson products in Sp(2)
• Composition methods and homotopy types of the gauge groups of \(Sp(2)\) and \(SU(3)\)
• Odd primary homotopy decompositions of gauge groups
• A remark on the homotopy type of certain gauge groups
• Homotopy groups of \(\mathrm{SU}(3)\), \(\mathrm{SU}(4)\) and \(\mathrm{Sp}(2)\)
• Counting Homotopy Types of Gauge Groups
• A note on the homotopy type of certain gauge groups
• Homotopy Commutativity in Localized Groups
• Function spaces related to gauge groups
• The Yang-Mills equations over Riemann surfaces
• Unstable K¹-group and homotopy type of certain gauge groups
• On the Number of Multiplications on SU (3) AND Sp (2)
• SAMELSON PRODUCTS OF SO(3) AND APPLICATIONS
• The evaluation map and E H P sequences

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