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

DOI10.1016/S0022-4049(99)00069-9zbMath0968.57021MaRDI QIDQ1584035

Akira Kono, Shuichi Tsukuda

Publication date: 19 September 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

classifying spaces of gauge groups

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (6)

Homology of the classifying space of \(\text{Sp}(n)\) gauge groups ⋮ Self-closeness numbers of rational mapping spaces ⋮ Criteria for components of a function space to be homotopy equivalent ⋮ Comparing the homotopy types of the components of \(\text{Map} (S^4, B\text{SU}(2))\) ⋮ Splitting of gauge groups ⋮ Rational homotopy type of the classifying space for fibrewise self-equivalences

Cites Work

• Unnamed Item
• On isomorphism classes of gauge groups
• On maps from \(BS^1\) to classifying spaces of certain gauge groups
• A remark on the homotopy type of certain gauge groups
• A remark on the homotopy type of the classifying space of certain gauge groups
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• On the cohomology of the classifying space of the gauge group over some 4-complexes
• The Yang-Mills equations over Riemann surfaces
• Applications of Bundle Map Theory

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