The suspended free loop space of a symmetric space
Marcel Bokstedt, Iver Ottosen
Abstract
Let M be one of the projective spaces CPn, HPn for n>1 or the Cayley projective plane OP2, and let LM denote the free loop space on M. Using Morse theory methods, we prove that the suspension spectrum of (LM)+ 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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