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arxiv: math/0511086 · v2 · submitted 2005-11-03 · 🧮 math.AT · math.DG

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The suspended free loop space of a symmetric space

Marcel Bokstedt , Iver Ottosen
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classification 🧮 math.AT math.DG
keywords spacefreeloopprojectivespacesspectrumsuspensionbundle
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Let M be one of the projective spaces CP^n, HP^n for n>1 or the Cayley projective plane OP^2, 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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