The homotopy types of \(\mathrm{Sp}(2)\)-gauge groups over closed simply connected four-manifolds

DOI10.1134/S0081543819030179zbMath1430.55005arXiv1807.02337OpenAlexW2980846829MaRDI QIDQ2285410

Tseleung So, Stephen D. Theriault

Publication date: 8 January 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02337

zbMATH Keywords

homotopy typegauge groupprincipal bundlecofibration sequencesimply connected closed $4$-manifold

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Function spaces in general topology (54C35) Yang-Mills and other gauge theories in quantum field theory (81T13) Loop spaces (55P35) Whitehead products and generalizations (55Q15)

Related Items (4)

The homotopy classification of four-dimensional toric orbifolds ⋮ Homotopy types of \(\mathrm{Spin}^{\mathrm{c}} (n)\)-gauge groups over \(S^4\) ⋮ Homotopy types of \( SU (n)\)-gauge groups over non-spin 4-manifolds ⋮ Homotopy of gauge groups over high-dimensional manifolds

Cites Work

• Unnamed Item
• Odd primary homotopy types of \(\mathrm{SU}(n)\)-gauge groups
• The homotopy types of \(SU(3)\)-gauge groups over simply connected 4-manifolds
• Composition methods and homotopy types of the gauge groups of \(Sp(2)\) and \(SU(3)\)
• Odd primary homotopy decompositions of gauge groups
• Homotopy groups of moduli spaces of representations
• Connections, cohomology and the intersection forms of 4-manifolds
• The homotopy types of \(Sp(3)\)-gauge groups
• A remark on the homotopy type of certain gauge groups
• The homotopy types of Sp(2)-gauge groups
• Homotopy types of \( SU (n)\)-gauge groups over non-spin 4-manifolds
• The homotopy types of \(SU(5)\)-gauge groups
• Homotopy groups of \(\mathrm{SU}(3)\), \(\mathrm{SU}(4)\) and \(\mathrm{Sp}(2)\)
• On sphere-bundles over spheres
• The homotopy types of \(G_{2}\)-gauge groups
• On the homotopy types of $\mathrm{Sp}(n)$ gauge groups
• The homotopy types of \(\mathrm{PU}(3)\)- and \(\mathrm{PSp}(2)\)-gauge groups
• Counting Homotopy Types of Gauge Groups
• Cancellation and homotopy rigidity of classical functors
• A note on the homotopy type of certain gauge groups
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Function spaces related to gauge groups
• Odd primary homotopy types of the gauge groups of exceptional Lie groups
• The Yang-Mills equations over Riemann surfaces
• HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS
• On p-local homotopy types of gauge groups
• Unstable K¹-group and homotopy type of certain gauge groups
• On the Number of Multiplications on SU (3) AND Sp (2)
• Applications of Bundle Map Theory
• SAMELSON PRODUCTS OF SO(3) AND APPLICATIONS
• The evaluation map and E H P sequences

This page was built for publication: The homotopy types of \(\mathrm{Sp}(2)\)-gauge groups over closed simply connected four-manifolds