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 n≥2 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.