On the cohomology of the classifying space of the gauge group over some 4-complexes

DOI10.24033/bsmf.2156zbMath0729.57006OpenAlexW2474915777MaRDI QIDQ3353817

Gregor Masbaum

Publication date: 1991

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1991__119_1_1_0

zbMATH Keywords

classifying spacegauge groupcohomology algebra

Mathematics Subject Classification ID

General low-dimensional topology (57M99)

Related Items (9)

Homology of the classifying space of \(\text{Sp}(n)\) gauge groups ⋮ An operadic model for a mapping space and its associated spectral sequence ⋮ The mod-p homology of the classifying spaces of certain gauge groups ⋮ Self-closeness numbers of rational mapping spaces ⋮ On universal relations in gauge theory ⋮ Odd primary homotopy decompositions of gauge groups ⋮ Comparing the homotopy types of the components of \(\text{Map} (S^4, B\text{SU}(2))\) ⋮ Homotopy decompositions of the classifying spaces of pointed gauge groups ⋮ 4-manifolds \(X\) over \(BS\text{U}(2)\) and the corresponding homotopy types Map\((X,BS\text{U}(2))\)

Cites Work

• Polynomial invariants for smooth four-manifolds
• Connections, cohomology and the intersection forms of 4-manifolds
• The homology of iterated loop spaces
• Odd primary torsion in \(\pi_k(S^3)\)
• Iterated loop spaces
• Homology of the classical groups over the Dyer-Lashof algebra
• The Yang-Mills equations over Riemann surfaces
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