On the homotopy types of $\mathrm{Sp}(n)$ gauge groups

DOI10.2140/agt.2019.19.491zbMath1415.55003arXiv1803.06477OpenAlexW3124720986MaRDI QIDQ2414171

Daisuke Kishimoto, Akira Kono

Publication date: 10 May 2019

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06477

zbMATH Keywords

gauge grouphomotopy typesSamelson productunstable \(K\)-theory

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) Whitehead products and generalizations (55Q15)

Related Items (6)

Homotopy of gauge groups over non-simply-connected five-dimensional manifolds ⋮ Homotopy types of gauge groups over Riemann surfaces ⋮ 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 ⋮ The homotopy types of \(\mathrm{Sp}(2)\)-gauge groups over closed simply connected four-manifolds ⋮ HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS

Cites Work

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• Applications of Bundle Map Theory
• SAMELSON PRODUCTS OF SO(3) AND APPLICATIONS
• Groupes de Lie et Puissances Reduites de Steenrod
• The evaluation map and E H P sequences

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