On isomorphism classes of gauge groups

DOI10.1016/S0166-8641(97)00165-XzbMath0933.58005OpenAlexW1996387264MaRDI QIDQ1295242

Shuichi Tsukuda

Publication date: 27 March 2000

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00165-x

zbMATH Keywords

Lie grouploop groupgauge groupprincipal \(G\) bundleequivariant diffeomorphismsFréchet Lie groups

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Geometry of quantum groups (58B32) Manifolds of mappings (58D15) (G)-structures (53C10) Fiber bundles in algebraic topology (55R10)

Related Items

4-manifolds \(X\) over \(BS\text{U}(2)\) and the corresponding homotopy types Map\((X,BS\text{U}(2))\)

Cites Work

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• Gauge groups and classification of bundles with simple structural group
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• A remark on the homotopy type of the classifying space of certain gauge groups
• The inverse function theorem of Nash and Moser
• Function spaces related to gauge groups
• The Automorphism Group of a Compact Group Action
• The Yang-Mills equations over Riemann surfaces