Homology of the classifying space of \(\text{Sp}(n)\) gauge groups

DOI10.1007/BF02777360zbMath1147.57030MaRDI QIDQ2382349

Younggi Choi

Publication date: 9 October 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Applications of Eilenberg-Moore spectral sequences (57T35) Homology and cohomology of (H)-spaces (57T25)

Related Items (3)

The mod-p homology of the classifying spaces of certain gauge groups ⋮ The odd primary homology of \(SU(n), Sp(n)\) and \(Spin(n)\)-gauge groups ⋮ Homology of gauge groups associated with special unitary groups

Cites Work

• A note on the Samelson product in the classical groups
• On loop spaces without p torsion
• The homology of iterated loop spaces
• On the collapse of certain Eilenberg-Moore spectral sequences.
• 4-manifolds \(X\) over \(BS\text{U}(2)\) and the corresponding homotopy types Map\((X,BS\text{U}(2))\)
• Homology of the double and the triple loop spaces of \(E_6\), \(E_7\) and \(E_8\)
• The stable homotopy of the classical groups
• Groupes d'homotopie et classes de groupes abéliens
• On products in homotopy 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
• Function spaces related to gauge groups
• The mod 2 homology of Sp (n) instantons and the classifying space of the gauge group
• The Yang-Mills equations over Riemann surfaces
• On universal relations in gauge theory

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