Function spaces related to gauge groups

DOI10.1017/S0308210500014220zbMath0761.55007MaRDI QIDQ4021242

W. A. Sutherland

Publication date: 16 January 1993

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

classifying spacetopological groupcompletionSamelson products

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Classification of fiber spaces or bundles in algebraic topology (55R15) Whitehead products and generalizations (55Q15)

Related Items (24)

Homology of the classifying space of \(\text{Sp}(n)\) gauge groups ⋮ Homotopy decompositions of PU(n)-gauge groups over Riemann surfaces ⋮ Homotopy decompositions of gauge groups over real surfaces ⋮ On the homotopy types of $\mathrm{Sp}(n)$ gauge groups ⋮ Eilenberg-Moore spectral sequences converging to the homology of the four fold loop spaces of compact simple Lie groups ⋮ The homotopy types of \(Sp(3)\)-gauge groups ⋮ Homotopy types of \(\mathrm{Spin}^{\mathrm{c}} (n)\)-gauge groups over \(S^4\) ⋮ Criteria for components of a function space to be homotopy equivalent ⋮ Mod \(p\) decompositions of gauge groups ⋮ The homotopy types of Sp(2)-gauge groups ⋮ The homotopy types of \(PSp(n)\)-gauge groups over \(S^{2m}\) ⋮ Homology of gauge groups associated with special unitary groups ⋮ On path-components of the mapping spaces \(M(\mathbb {S}^m,\mathbb {F}P^n)\) ⋮ Odd primary homotopy decompositions of gauge groups ⋮ The homotopy types of \(SU(3)\)-gauge groups over simply connected 4-manifolds ⋮ Homotopy types of gauge groups of \(\mathrm{PU}(p)\)-bundles over spheres ⋮ The homotopy types of gauge groups of nonorientable surfaces and applications to moduli spaces ⋮ The homotopy types of \(\mathrm{Sp}(2)\)-gauge groups over closed simply connected four-manifolds ⋮ The homotopy types of \(U(n)\)-gauge groups over lens spaces ⋮ Mod \(p\) homology of \(F_{4}\)-gauge groups over \(S^4\) ⋮ HOMOTOPY TYPES OF GAUGE GROUPS OVER NON-SIMPLYCONNECTED CLOSED 4-MANIFOLDS ⋮ HOMOTOPY DECOMPOSITIONS OF GAUGE GROUPS OVER RIEMANN SURFACES AND APPLICATIONS TO MODULI SPACES ⋮ On isomorphism classes of gauge groups ⋮ The homotopy types of \(SU(5)\)-gauge groups

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