On the cohomology of free and twisted loop spaces

DOI10.1016/j.jpaa.2009.07.006zbMath1195.55008OpenAlexW2082854914MaRDI QIDQ847153

Akira Kono, Daisuke Kishimoto

Publication date: 12 February 2010

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.2009.07.006

zbMATH Keywords

Chevalley groupsEilenberg-Moore spectral sequencefree loop spacesclassifying spaces of compact Lie groups

Mathematics Subject Classification ID

Loop spaces (55P35) Applications of Eilenberg-Moore spectral sequences (57T35)

Related Items (7)

Cohomology of classifying spaces of loop groups and finite Chevalley groups associated with spin groups ⋮ Mod \(p\) decompositions of gauge groups ⋮ Discrete approximations for complex Kac-Moody groups ⋮ \(S^1\)-equivariant Chern-Weil constructions on loop space ⋮ The Batalin–Vilkovisky Algebra in the String Topology of Classifying Spaces ⋮ String^{𝑐} structures and modular invariants ⋮ Loop space homology associated with the mod 2 Dickson invariants

Cites Work

• Module derivations and the adjoint action of a finite loop space
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• The adjoint action of a Lie group on the space of loops
• The cohomology of exotic 2-local finite groups
• On the cohomology and K-theory of the general linear groups over a finite field
• The cohomology of Chevalley groups of exceptional Lie type
• A homotopy construction of the adjoint representation for Lie groups
• Module derivations and cohomological splitting of adjoint bundles
• Invariants of Finite Reflection Groups
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