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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 14th 2017

    I need a word for the homotopy quotient (X)/S 1(\mathcal{L}X)/S^1 of free loop spaces X\mathcal{L}X by their canonical circle action. It seems that the only term in use with respect to this is “twisted loop space”, which however usually refers just to the constant loops ( constX)//S 1(\mathcal{L}_{const}X)//S^1. Since under nice conditions the derived functions on the Spec(A)/S 1\mathcal{L}Spec(A)/S^1 is the cyclic homology complex of AA, I suggest that a good name is “cyclic loop space”. I made a quick note at cyclic loop space, just to fix and disambiguate terminology.

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