On the cohomology of free and twisted loop spaces

Daisuke Kishimoto, Akira Kono

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


A natural extension of the cohomology suspension to a free loop space is constructed from the evaluation map and is shown to have good properties in cohomology calculation. This map is generalized to a twisted loop space which is a space of paths twisted by a given self-map of the underlying space. As an application, the cohomology of free and twisted loop spaces of classifying spaces of compact Lie groups, including some finite Chevalley groups, is calculated.

Original languageEnglish
Pages (from-to)646-653
Number of pages8
JournalJournal of Pure and Applied Algebra
Issue number5
Publication statusPublished - May 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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