The Samelson product and rational homotopy for gauge groups

DOI10.1007/BF03173500zbMath1152.57036arXivmath/0511404MaRDI QIDQ2479817

Christoph Wockel

Publication date: 3 April 2008

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511404

zbMATH Keywords

gauge groupevaluation mapprincipal bundleSamelson productWhitehead product

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items (6)

Variations of rational higher tangential structures ⋮ Lie group structures on symmetry groups of principal bundles ⋮ Banach algebras, Samelson products, and the Wang differential ⋮ Higher spins from Nambu-Chern-Simons theory ⋮ Rational homotopy of gauge groups ⋮ Central extensions of groups of sections

Cites Work

• A note on the Samelson product in the classical groups
• Some remarks on the Gribov ambiguity
• Central extensions of infinite-dimensional Lie groups
• On simply connected, 4-dimensional polyhedra
• On certain theorems of G. W. Whitehead
• On products in homotopy groups
• A note on the homotopy type of certain gauge groups
• The rational topology of gauge groups and of spaces of connections
• The Yang-Mills equations over Riemann surfaces
• Applications of Bundle Map Theory
• Equivariant self equivalences of principal fibre bundles
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