The odd primary homology of \(SU(n), Sp(n)\) and \(Spin(n)\)-gauge groups

DOI10.1016/j.jpaa.2011.08.003zbMath1244.55010OpenAlexW2036078352MaRDI QIDQ418925

Stephen D. Theriault

Publication date: 30 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.08.003

zbMATH Keywords

gauge groupsLeray-Serre spectral sequenceprimary homology

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Cites Work

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• Homology of gauge groups associated with special unitary groups
• Note on mod \(p\) decompositions of gauge groups
• Odd primary homotopy decompositions of gauge groups
• Connections, cohomology and the intersection forms of 4-manifolds
• Exceptional isogenies and the classifying spaces of simple Lie groups
• The homology of iterated loop spaces
• Homology of the classifying space of \(\text{Sp}(n)\) gauge groups
• On the homotopy groups of the classical groups
• A topological proof of theorems of Bott and Borel-Hirzeburch for homotopy groups of unitary groups
• Rational homotopy of gauge groups
• 2-Torsion Instanton Invariants
• The rational topology of gauge groups and of spaces of connections
• The Yang-Mills equations over Riemann surfaces
• On universal relations in gauge theory

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