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String cohomology groups of complex projective spaces

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  • Institut for Matematiske Fag
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.
OriginalsprogEngelsk
TidsskriftAlgebr. Geom. Topol.
Vol/bind7
Sider (fra-til)2165-2238
Antal sider74
DOI
StatusUdgivet - 2007

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