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The suspended free loop space of a symmetric space

by Marcel Bökstedt and Iver Ottosen
Preprints Number 18 (December 2004)
Let M be one of the projective spaces CPn, HPn for n2 or the Cayley projective plane OP2, and let ΛM denote the free loop space on M. Using Morse theory methods, we prove that the suspension spectrum of (ΛM)+ is homotopy equivalent to the suspension spectrum of M+ wedge a family of Thom spaces of explicit vector bundles over the tangent sphere bundle of M.
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