String cohomology groups of complex projective spaces

Iver Ottosen, Marcel Bökstedt

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    Abstract

    Let X be a space and write LX for its free loop space equipped with the action of the circle group T given by dilation. The equivariant cohomology H*(LXhT;Z/p) is a module over H*(BT;Z/p). We give a computation of this module when X=CPr for any positive integer r and any prime number p. The computation does not use the fact that CPr is formal, nor does it use the Jones isomorphism and negative cyclic homology.
    Original languageEnglish
    JournalAlgebr. Geom. Topol.
    Volume7
    Pages (from-to)2165-2238
    Number of pages74
    DOIs
    Publication statusPublished - 2007

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