Refined gauge group decompositions

DOI10.1215/21562261-2693487zbMath1321.55007OpenAlexW1981813034MaRDI QIDQ2258615

Akira Kono, Daisuke Kishimoto, Stephen D. Theriault

Publication date: 26 February 2015

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

Full work available at URL: https://projecteuclid.org/euclid.kjm/1408020883

zbMATH Keywords

matrix group\(p\)-local homotopy typeGauge group

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Yang-Mills and other gauge theories in quantum field theory (81T13) Loop spaces (55P35)

Related Items (5)

On the homotopy types of $\mathrm{Sp}(n)$ gauge groups ⋮ Homotopy decompositions of stable gauge groups ⋮ Homotopy types of \( SU (n)\)-gauge groups over non-spin 4-manifolds ⋮ Homotopy decompositions of the classifying spaces of pointed gauge groups ⋮ The homotopy types of \(SU(5)\)-gauge groups

Cites Work

• A note on the Samelson product in the classical groups
• Note on mod \(p\) decompositions of gauge groups
• Odd primary homotopy decompositions of gauge groups
• Mod p decomposition of compact Lie groups
• Mod \(p\) decompositions of gauge groups
• The homotopy types of Sp(2)-gauge groups
• Generating varieties, Bott periodicity and instantons
• On the homotopy groups of the classical groups
• A note on the homotopy type of certain gauge groups
• On the Homology of SU(n) Instantons
• Unstable K¹-group and homotopy type of certain gauge groups
• Applications of Bundle Map Theory
• The evaluation map and E H P sequences

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